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Finding the Third Proportional to 61,948 and 132,640

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Solution

The third proportional to 61,948 and 132,640 is: 284,002.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,948 : 132,640 = 132,640 : x
  2. Step 2: Convert to fraction form
    61,948/132,640 = 132,640/x
  3. Step 3: Cross multiply
    61,948x = 132,640 × 132,640
  4. Step 4: Simplify right side
    61,948x = 17,593,369,600
  5. Step 5: Solve for x
    x = 17,593,369,600/61,948
  6. Step 6: Final answer
    x = 284,002.22

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.