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Finding the Third Proportional to 42,756 and 63,780

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Solution

The third proportional to 42,756 and 63,780 is: 95,141.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,756 : 63,780 = 63,780 : x
  2. Step 2: Convert to fraction form
    42,756/63,780 = 63,780/x
  3. Step 3: Cross multiply
    42,756x = 63,780 × 63,780
  4. Step 4: Simplify right side
    42,756x = 4,067,888,400
  5. Step 5: Solve for x
    x = 4,067,888,400/42,756
  6. Step 6: Final answer
    x = 95,141.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.