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Finding the Third Proportional to 54,146 and 84,959

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Solution

The third proportional to 54,146 and 84,959 is: 133,306.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,146 : 84,959 = 84,959 : x
  2. Step 2: Convert to fraction form
    54,146/84,959 = 84,959/x
  3. Step 3: Cross multiply
    54,146x = 84,959 × 84,959
  4. Step 4: Simplify right side
    54,146x = 7,218,031,681
  5. Step 5: Solve for x
    x = 7,218,031,681/54,146
  6. Step 6: Final answer
    x = 133,306.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.