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Finding the Third Proportional to 84,847.50 and 115,587

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Solution

The third proportional to 84,847.50 and 115,587 is: 157,463.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,847.50 : 115,587 = 115,587 : x
  2. Step 2: Convert to fraction form
    84,847.50/115,587 = 115,587/x
  3. Step 3: Cross multiply
    84,847.50x = 115,587 × 115,587
  4. Step 4: Simplify right side
    84,847.50x = 13,360,354,569
  5. Step 5: Solve for x
    x = 13,360,354,569/84,847.50
  6. Step 6: Final answer
    x = 157,463.15

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.