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Finding the Third Proportional to 48,127.50 and 74,378.25

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Solution

The third proportional to 48,127.50 and 74,378.25 is: 114,947.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,127.50 : 74,378.25 = 74,378.25 : x
  2. Step 2: Convert to fraction form
    48,127.50/74,378.25 = 74,378.25/x
  3. Step 3: Cross multiply
    48,127.50x = 74,378.25 × 74,378.25
  4. Step 4: Simplify right side
    48,127.50x = 5,532,124,073.06
  5. Step 5: Solve for x
    x = 5,532,124,073.06/48,127.50
  6. Step 6: Final answer
    x = 114,947.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.