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Finding the Third Proportional to 142,860 and 272,760

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Solution

The third proportional to 142,860 and 272,760 is: 520,775.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,860 : 272,760 = 272,760 : x
  2. Step 2: Convert to fraction form
    142,860/272,760 = 272,760/x
  3. Step 3: Cross multiply
    142,860x = 272,760 × 272,760
  4. Step 4: Simplify right side
    142,860x = 74,398,017,600
  5. Step 5: Solve for x
    x = 74,398,017,600/142,860
  6. Step 6: Final answer
    x = 520,775.71

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.