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Finding the Third Proportional to 76,218 and 101,822

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Solution

The third proportional to 76,218 and 101,822 is: 136,027.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,218 : 101,822 = 101,822 : x
  2. Step 2: Convert to fraction form
    76,218/101,822 = 101,822/x
  3. Step 3: Cross multiply
    76,218x = 101,822 × 101,822
  4. Step 4: Simplify right side
    76,218x = 10,367,719,684
  5. Step 5: Solve for x
    x = 10,367,719,684/76,218
  6. Step 6: Final answer
    x = 136,027.18

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.