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Finding the Third Proportional to 52,786 and 77,451

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Solution

The third proportional to 52,786 and 77,451 is: 113,641.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,786 : 77,451 = 77,451 : x
  2. Step 2: Convert to fraction form
    52,786/77,451 = 77,451/x
  3. Step 3: Cross multiply
    52,786x = 77,451 × 77,451
  4. Step 4: Simplify right side
    52,786x = 5,998,657,401
  5. Step 5: Solve for x
    x = 5,998,657,401/52,786
  6. Step 6: Final answer
    x = 113,641.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.