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Finding the Third Proportional to 61,731 and 90,402.50

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Solution

The third proportional to 61,731 and 90,402.50 is: 132,390.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,731 : 90,402.50 = 90,402.50 : x
  2. Step 2: Convert to fraction form
    61,731/90,402.50 = 90,402.50/x
  3. Step 3: Cross multiply
    61,731x = 90,402.50 × 90,402.50
  4. Step 4: Simplify right side
    61,731x = 8,172,612,006.25
  5. Step 5: Solve for x
    x = 8,172,612,006.25/61,731
  6. Step 6: Final answer
    x = 132,390.73

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.