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Finding the Third Proportional to 55,729.50 and 86,389

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Solution

The third proportional to 55,729.50 and 86,389 is: 133,915.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,729.50 : 86,389 = 86,389 : x
  2. Step 2: Convert to fraction form
    55,729.50/86,389 = 86,389/x
  3. Step 3: Cross multiply
    55,729.50x = 86,389 × 86,389
  4. Step 4: Simplify right side
    55,729.50x = 7,463,059,321
  5. Step 5: Solve for x
    x = 7,463,059,321/55,729.50
  6. Step 6: Final answer
    x = 133,915.78

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