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Finding the Third Proportional to 61,581 and 132,658

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Solution

The third proportional to 61,581 and 132,658 is: 285,772.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,581 : 132,658 = 132,658 : x
  2. Step 2: Convert to fraction form
    61,581/132,658 = 132,658/x
  3. Step 3: Cross multiply
    61,581x = 132,658 × 132,658
  4. Step 4: Simplify right side
    61,581x = 17,598,144,964
  5. Step 5: Solve for x
    x = 17,598,144,964/61,581
  6. Step 6: Final answer
    x = 285,772.32

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.