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Finding the Third Proportional to 126,232 and 272,146

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Solution

The third proportional to 126,232 and 272,146 is: 586,724.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,232 : 272,146 = 272,146 : x
  2. Step 2: Convert to fraction form
    126,232/272,146 = 272,146/x
  3. Step 3: Cross multiply
    126,232x = 272,146 × 272,146
  4. Step 4: Simplify right side
    126,232x = 74,063,445,316
  5. Step 5: Solve for x
    x = 74,063,445,316/126,232
  6. Step 6: Final answer
    x = 586,724.80

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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.