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Finding the Third Proportional to 83,965 and 127,952

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Solution

The third proportional to 83,965 and 127,952 is: 194,982.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,965 : 127,952 = 127,952 : x
  2. Step 2: Convert to fraction form
    83,965/127,952 = 127,952/x
  3. Step 3: Cross multiply
    83,965x = 127,952 × 127,952
  4. Step 4: Simplify right side
    83,965x = 16,371,714,304
  5. Step 5: Solve for x
    x = 16,371,714,304/83,965
  6. Step 6: Final answer
    x = 194,982.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.