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Finding the Third Proportional to 61,345 and 132,082

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Solution

The third proportional to 61,345 and 132,082 is: 284,385.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,345 : 132,082 = 132,082 : x
  2. Step 2: Convert to fraction form
    61,345/132,082 = 132,082/x
  3. Step 3: Cross multiply
    61,345x = 132,082 × 132,082
  4. Step 4: Simplify right side
    61,345x = 17,445,654,724
  5. Step 5: Solve for x
    x = 17,445,654,724/61,345
  6. Step 6: Final answer
    x = 284,385.93

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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.