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Finding the Third Proportional to 52,898 and 81,959

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Solution

The third proportional to 52,898 and 81,959 is: 126,985.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,898 : 81,959 = 81,959 : x
  2. Step 2: Convert to fraction form
    52,898/81,959 = 81,959/x
  3. Step 3: Cross multiply
    52,898x = 81,959 × 81,959
  4. Step 4: Simplify right side
    52,898x = 6,717,277,681
  5. Step 5: Solve for x
    x = 6,717,277,681/52,898
  6. Step 6: Final answer
    x = 126,985.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.