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Finding the Third Proportional to 124,711 and 272,750

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Solution

The third proportional to 124,711 and 272,750 is: 596,519.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,711 : 272,750 = 272,750 : x
  2. Step 2: Convert to fraction form
    124,711/272,750 = 272,750/x
  3. Step 3: Cross multiply
    124,711x = 272,750 × 272,750
  4. Step 4: Simplify right side
    124,711x = 74,392,562,500
  5. Step 5: Solve for x
    x = 74,392,562,500/124,711
  6. Step 6: Final answer
    x = 596,519.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.