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Finding the Third Proportional to 124,984 and 272,150

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Solution

The third proportional to 124,984 and 272,150 is: 592,600.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,984 : 272,150 = 272,150 : x
  2. Step 2: Convert to fraction form
    124,984/272,150 = 272,150/x
  3. Step 3: Cross multiply
    124,984x = 272,150 × 272,150
  4. Step 4: Simplify right side
    124,984x = 74,065,622,500
  5. Step 5: Solve for x
    x = 74,065,622,500/124,984
  6. Step 6: Final answer
    x = 592,600.83

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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.