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Finding the Third Proportional to 75,727 and 156,381

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Solution

The third proportional to 75,727 and 156,381 is: 322,936.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,727 : 156,381 = 156,381 : x
  2. Step 2: Convert to fraction form
    75,727/156,381 = 156,381/x
  3. Step 3: Cross multiply
    75,727x = 156,381 × 156,381
  4. Step 4: Simplify right side
    75,727x = 24,455,017,161
  5. Step 5: Solve for x
    x = 24,455,017,161/75,727
  6. Step 6: Final answer
    x = 322,936.56

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.