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Finding the Third Proportional to 52,451 and 78,713

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Solution

The third proportional to 52,451 and 78,713 is: 118,124.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,451 : 78,713 = 78,713 : x
  2. Step 2: Convert to fraction form
    52,451/78,713 = 78,713/x
  3. Step 3: Cross multiply
    52,451x = 78,713 × 78,713
  4. Step 4: Simplify right side
    52,451x = 6,195,736,369
  5. Step 5: Solve for x
    x = 6,195,736,369/52,451
  6. Step 6: Final answer
    x = 118,124.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.