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Finding the Third Proportional to 61,420 and 132,536

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Solution

The third proportional to 61,420 and 132,536 is: 285,994.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,420 : 132,536 = 132,536 : x
  2. Step 2: Convert to fraction form
    61,420/132,536 = 132,536/x
  3. Step 3: Cross multiply
    61,420x = 132,536 × 132,536
  4. Step 4: Simplify right side
    61,420x = 17,565,791,296
  5. Step 5: Solve for x
    x = 17,565,791,296/61,420
  6. Step 6: Final answer
    x = 285,994.65

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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.