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Finding the Third Proportional to 85,551.75 and 127,595.25

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Solution

The third proportional to 85,551.75 and 127,595.25 is: 190,300.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,551.75 : 127,595.25 = 127,595.25 : x
  2. Step 2: Convert to fraction form
    85,551.75/127,595.25 = 127,595.25/x
  3. Step 3: Cross multiply
    85,551.75x = 127,595.25 × 127,595.25
  4. Step 4: Simplify right side
    85,551.75x = 16,280,547,822.56
  5. Step 5: Solve for x
    x = 16,280,547,822.56/85,551.75
  6. Step 6: Final answer
    x = 190,300.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.