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Finding the Third Proportional to 102,132 and 218,292

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Solution

The third proportional to 102,132 and 218,292 is: 466,566.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,132 : 218,292 = 218,292 : x
  2. Step 2: Convert to fraction form
    102,132/218,292 = 218,292/x
  3. Step 3: Cross multiply
    102,132x = 218,292 × 218,292
  4. Step 4: Simplify right side
    102,132x = 47,651,397,264
  5. Step 5: Solve for x
    x = 47,651,397,264/102,132
  6. Step 6: Final answer
    x = 466,566.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.