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Finding the Third Proportional to 118,521 and 159,651

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Solution

The third proportional to 118,521 and 159,651 is: 215,054.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,521 : 159,651 = 159,651 : x
  2. Step 2: Convert to fraction form
    118,521/159,651 = 159,651/x
  3. Step 3: Cross multiply
    118,521x = 159,651 × 159,651
  4. Step 4: Simplify right side
    118,521x = 25,488,441,801
  5. Step 5: Solve for x
    x = 25,488,441,801/118,521
  6. Step 6: Final answer
    x = 215,054.22

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.