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Finding the Third Proportional to 52,766 and 81,594

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Solution

The third proportional to 52,766 and 81,594 is: 126,171.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,766 : 81,594 = 81,594 : x
  2. Step 2: Convert to fraction form
    52,766/81,594 = 81,594/x
  3. Step 3: Cross multiply
    52,766x = 81,594 × 81,594
  4. Step 4: Simplify right side
    52,766x = 6,657,580,836
  5. Step 5: Solve for x
    x = 6,657,580,836/52,766
  6. Step 6: Final answer
    x = 126,171.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.