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Finding the Third Proportional to 124,332 and 191,218

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Solution

The third proportional to 124,332 and 191,218 is: 294,086.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,332 : 191,218 = 191,218 : x
  2. Step 2: Convert to fraction form
    124,332/191,218 = 191,218/x
  3. Step 3: Cross multiply
    124,332x = 191,218 × 191,218
  4. Step 4: Simplify right side
    124,332x = 36,564,323,524
  5. Step 5: Solve for x
    x = 36,564,323,524/124,332
  6. Step 6: Final answer
    x = 294,086.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.