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Finding the Third Proportional to 84,505.50 and 129,902.63

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Solution

The third proportional to 84,505.50 and 129,902.63 is: 199,687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,505.50 : 129,902.63 = 129,902.63 : x
  2. Step 2: Convert to fraction form
    84,505.50/129,902.63 = 129,902.63/x
  3. Step 3: Cross multiply
    84,505.50x = 129,902.63 × 129,902.63
  4. Step 4: Simplify right side
    84,505.50x = 16,874,691,981.89
  5. Step 5: Solve for x
    x = 16,874,691,981.89/84,505.50
  6. Step 6: Final answer
    x = 199,687.50

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.