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Finding the Third Proportional to 61,802 and 132,352

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Solution

The third proportional to 61,802 and 132,352 is: 283,438.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,802 : 132,352 = 132,352 : x
  2. Step 2: Convert to fraction form
    61,802/132,352 = 132,352/x
  3. Step 3: Cross multiply
    61,802x = 132,352 × 132,352
  4. Step 4: Simplify right side
    61,802x = 17,517,051,904
  5. Step 5: Solve for x
    x = 17,517,051,904/61,802
  6. Step 6: Final answer
    x = 283,438.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.