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Finding the Third Proportional to 75,702 and 156,262

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Solution

The third proportional to 75,702 and 156,262 is: 322,551.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,702 : 156,262 = 156,262 : x
  2. Step 2: Convert to fraction form
    75,702/156,262 = 156,262/x
  3. Step 3: Cross multiply
    75,702x = 156,262 × 156,262
  4. Step 4: Simplify right side
    75,702x = 24,417,812,644
  5. Step 5: Solve for x
    x = 24,417,812,644/75,702
  6. Step 6: Final answer
    x = 322,551.75

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.