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Finding the Third Proportional to 61,365 and 132,411

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Solution

The third proportional to 61,365 and 132,411 is: 285,711.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,365 : 132,411 = 132,411 : x
  2. Step 2: Convert to fraction form
    61,365/132,411 = 132,411/x
  3. Step 3: Cross multiply
    61,365x = 132,411 × 132,411
  4. Step 4: Simplify right side
    61,365x = 17,532,672,921
  5. Step 5: Solve for x
    x = 17,532,672,921/61,365
  6. Step 6: Final answer
    x = 285,711.28

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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.