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Finding the Third Proportional to 61,215 and 89,727

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Solution

The third proportional to 61,215 and 89,727 is: 131,518.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,215 : 89,727 = 89,727 : x
  2. Step 2: Convert to fraction form
    61,215/89,727 = 89,727/x
  3. Step 3: Cross multiply
    61,215x = 89,727 × 89,727
  4. Step 4: Simplify right side
    61,215x = 8,050,934,529
  5. Step 5: Solve for x
    x = 8,050,934,529/61,215
  6. Step 6: Final answer
    x = 131,518.98

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.