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Finding the Third Proportional to 50,594 and 81,291

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Solution

The third proportional to 50,594 and 81,291 is: 130,612.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,594 : 81,291 = 81,291 : x
  2. Step 2: Convert to fraction form
    50,594/81,291 = 81,291/x
  3. Step 3: Cross multiply
    50,594x = 81,291 × 81,291
  4. Step 4: Simplify right side
    50,594x = 6,608,226,681
  5. Step 5: Solve for x
    x = 6,608,226,681/50,594
  6. Step 6: Final answer
    x = 130,612.85

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.