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Finding the Third Proportional to 126,237 and 272,156

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Solution

The third proportional to 126,237 and 272,156 is: 586,744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,237 : 272,156 = 272,156 : x
  2. Step 2: Convert to fraction form
    126,237/272,156 = 272,156/x
  3. Step 3: Cross multiply
    126,237x = 272,156 × 272,156
  4. Step 4: Simplify right side
    126,237x = 74,068,888,336
  5. Step 5: Solve for x
    x = 74,068,888,336/126,237
  6. Step 6: Final answer
    x = 586,744.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.