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Finding the Third Proportional to 42,240 and 63,600

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Solution

The third proportional to 42,240 and 63,600 is: 95,761.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,240 : 63,600 = 63,600 : x
  2. Step 2: Convert to fraction form
    42,240/63,600 = 63,600/x
  3. Step 3: Cross multiply
    42,240x = 63,600 × 63,600
  4. Step 4: Simplify right side
    42,240x = 4,044,960,000
  5. Step 5: Solve for x
    x = 4,044,960,000/42,240
  6. Step 6: Final answer
    x = 95,761.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.