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Finding the Third Proportional to 124,980 and 272,142

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Solution

The third proportional to 124,980 and 272,142 is: 592,584.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,980 : 272,142 = 272,142 : x
  2. Step 2: Convert to fraction form
    124,980/272,142 = 272,142/x
  3. Step 3: Cross multiply
    124,980x = 272,142 × 272,142
  4. Step 4: Simplify right side
    124,980x = 74,061,268,164
  5. Step 5: Solve for x
    x = 74,061,268,164/124,980
  6. Step 6: Final answer
    x = 592,584.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.