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Finding the Third Proportional to 57,706.31 and 87,328.13

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Solution

The third proportional to 57,706.31 and 87,328.13 is: 132,155.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,706.31 : 87,328.13 = 87,328.13 : x
  2. Step 2: Convert to fraction form
    57,706.31/87,328.13 = 87,328.13/x
  3. Step 3: Cross multiply
    57,706.31x = 87,328.13 × 87,328.13
  4. Step 4: Simplify right side
    57,706.31x = 7,626,201,416.02
  5. Step 5: Solve for x
    x = 7,626,201,416.02/57,706.31
  6. Step 6: Final answer
    x = 132,155.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.