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Finding the Third Proportional to 58,502.50 and 86,893

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Solution

The third proportional to 58,502.50 and 86,893 is: 129,061.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,502.50 : 86,893 = 86,893 : x
  2. Step 2: Convert to fraction form
    58,502.50/86,893 = 86,893/x
  3. Step 3: Cross multiply
    58,502.50x = 86,893 × 86,893
  4. Step 4: Simplify right side
    58,502.50x = 7,550,393,449
  5. Step 5: Solve for x
    x = 7,550,393,449/58,502.50
  6. Step 6: Final answer
    x = 129,061.04

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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.