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Finding the Third Proportional to 61,241 and 89,913

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Solution

The third proportional to 61,241 and 89,913 is: 132,008.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,241 : 89,913 = 89,913 : x
  2. Step 2: Convert to fraction form
    61,241/89,913 = 89,913/x
  3. Step 3: Cross multiply
    61,241x = 89,913 × 89,913
  4. Step 4: Simplify right side
    61,241x = 8,084,347,569
  5. Step 5: Solve for x
    x = 8,084,347,569/61,241
  6. Step 6: Final answer
    x = 132,008.75

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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.