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Finding the Third Proportional to 61,461 and 132,264

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Solution

The third proportional to 61,461 and 132,264 is: 284,631.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,461 : 132,264 = 132,264 : x
  2. Step 2: Convert to fraction form
    61,461/132,264 = 132,264/x
  3. Step 3: Cross multiply
    61,461x = 132,264 × 132,264
  4. Step 4: Simplify right side
    61,461x = 17,493,765,696
  5. Step 5: Solve for x
    x = 17,493,765,696/61,461
  6. Step 6: Final answer
    x = 284,631.97

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Why These Related Problems?

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