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Finding the Third Proportional to 126,272 and 272,224

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Solution

The third proportional to 126,272 and 272,224 is: 586,875.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,272 : 272,224 = 272,224 : x
  2. Step 2: Convert to fraction form
    126,272/272,224 = 272,224/x
  3. Step 3: Cross multiply
    126,272x = 272,224 × 272,224
  4. Step 4: Simplify right side
    126,272x = 74,105,906,176
  5. Step 5: Solve for x
    x = 74,105,906,176/126,272
  6. Step 6: Final answer
    x = 586,875.21

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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.