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Finding the Third Proportional to 61,376 and 132,412

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Solution

The third proportional to 61,376 and 132,412 is: 285,664.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,376 : 132,412 = 132,412 : x
  2. Step 2: Convert to fraction form
    61,376/132,412 = 132,412/x
  3. Step 3: Cross multiply
    61,376x = 132,412 × 132,412
  4. Step 4: Simplify right side
    61,376x = 17,532,937,744
  5. Step 5: Solve for x
    x = 17,532,937,744/61,376
  6. Step 6: Final answer
    x = 285,664.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.