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Finding the Third Proportional to 55,734.50 and 86,337.50

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Solution

The third proportional to 55,734.50 and 86,337.50 is: 133,744.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,734.50 : 86,337.50 = 86,337.50 : x
  2. Step 2: Convert to fraction form
    55,734.50/86,337.50 = 86,337.50/x
  3. Step 3: Cross multiply
    55,734.50x = 86,337.50 × 86,337.50
  4. Step 4: Simplify right side
    55,734.50x = 7,454,163,906.25
  5. Step 5: Solve for x
    x = 7,454,163,906.25/55,734.50
  6. Step 6: Final answer
    x = 133,744.16

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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.