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Finding the Third Proportional to 61,231 and 89,749

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Solution

The third proportional to 61,231 and 89,749 is: 131,549.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,231 : 89,749 = 89,749 : x
  2. Step 2: Convert to fraction form
    61,231/89,749 = 89,749/x
  3. Step 3: Cross multiply
    61,231x = 89,749 × 89,749
  4. Step 4: Simplify right side
    61,231x = 8,054,883,001
  5. Step 5: Solve for x
    x = 8,054,883,001/61,231
  6. Step 6: Final answer
    x = 131,549.10

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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.