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Finding the Third Proportional to 75,127.50 and 153,038.25

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Solution

The third proportional to 75,127.50 and 153,038.25 is: 311,746.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,127.50 : 153,038.25 = 153,038.25 : x
  2. Step 2: Convert to fraction form
    75,127.50/153,038.25 = 153,038.25/x
  3. Step 3: Cross multiply
    75,127.50x = 153,038.25 × 153,038.25
  4. Step 4: Simplify right side
    75,127.50x = 23,420,705,963.06
  5. Step 5: Solve for x
    x = 23,420,705,963.06/75,127.50
  6. Step 6: Final answer
    x = 311,746.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.