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Finding the Third Proportional to 42,176 and 63,147

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Solution

The third proportional to 42,176 and 63,147 is: 94,545.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,176 : 63,147 = 63,147 : x
  2. Step 2: Convert to fraction form
    42,176/63,147 = 63,147/x
  3. Step 3: Cross multiply
    42,176x = 63,147 × 63,147
  4. Step 4: Simplify right side
    42,176x = 3,987,543,609
  5. Step 5: Solve for x
    x = 3,987,543,609/42,176
  6. Step 6: Final answer
    x = 94,545.32

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