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Finding the Third Proportional to 84,689 and 123,853

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Solution

The third proportional to 84,689 and 123,853 is: 181,128.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,689 : 123,853 = 123,853 : x
  2. Step 2: Convert to fraction form
    84,689/123,853 = 123,853/x
  3. Step 3: Cross multiply
    84,689x = 123,853 × 123,853
  4. Step 4: Simplify right side
    84,689x = 15,339,565,609
  5. Step 5: Solve for x
    x = 15,339,565,609/84,689
  6. Step 6: Final answer
    x = 181,128.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.