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Finding the Third Proportional to 94,617 and 111,897

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Solution

The third proportional to 94,617 and 111,897 is: 132,332.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,617 : 111,897 = 111,897 : x
  2. Step 2: Convert to fraction form
    94,617/111,897 = 111,897/x
  3. Step 3: Cross multiply
    94,617x = 111,897 × 111,897
  4. Step 4: Simplify right side
    94,617x = 12,520,938,609
  5. Step 5: Solve for x
    x = 12,520,938,609/94,617
  6. Step 6: Final answer
    x = 132,332.86

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.