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Finding the Third Proportional to 61,717.50 and 132,800.63

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Solution

The third proportional to 61,717.50 and 132,800.63 is: 285,753.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,717.50 : 132,800.63 = 132,800.63 : x
  2. Step 2: Convert to fraction form
    61,717.50/132,800.63 = 132,800.63/x
  3. Step 3: Cross multiply
    61,717.50x = 132,800.63 × 132,800.63
  4. Step 4: Simplify right side
    61,717.50x = 17,636,006,000.39
  5. Step 5: Solve for x
    x = 17,636,006,000.39/61,717.50
  6. Step 6: Final answer
    x = 285,753.73

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.