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Finding the Third Proportional to 62,854 and 90,897

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Solution

The third proportional to 62,854 and 90,897 is: 131,451.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,854 : 90,897 = 90,897 : x
  2. Step 2: Convert to fraction form
    62,854/90,897 = 90,897/x
  3. Step 3: Cross multiply
    62,854x = 90,897 × 90,897
  4. Step 4: Simplify right side
    62,854x = 8,262,264,609
  5. Step 5: Solve for x
    x = 8,262,264,609/62,854
  6. Step 6: Final answer
    x = 131,451.69

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.