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Finding the Third Proportional to 61,365 and 132,395

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Solution

The third proportional to 61,365 and 132,395 is: 285,642.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,365 : 132,395 = 132,395 : x
  2. Step 2: Convert to fraction form
    61,365/132,395 = 132,395/x
  3. Step 3: Cross multiply
    61,365x = 132,395 × 132,395
  4. Step 4: Simplify right side
    61,365x = 17,528,436,025
  5. Step 5: Solve for x
    x = 17,528,436,025/61,365
  6. Step 6: Final answer
    x = 285,642.24

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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.