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Finding the Third Proportional to 65,690 and 101,897

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Solution

The third proportional to 65,690 and 101,897 is: 158,060.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,690 : 101,897 = 101,897 : x
  2. Step 2: Convert to fraction form
    65,690/101,897 = 101,897/x
  3. Step 3: Cross multiply
    65,690x = 101,897 × 101,897
  4. Step 4: Simplify right side
    65,690x = 10,382,998,609
  5. Step 5: Solve for x
    x = 10,382,998,609/65,690
  6. Step 6: Final answer
    x = 158,060.57

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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.