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Finding the Third Proportional to 43,042 and 63,147

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Solution

The third proportional to 43,042 and 63,147 is: 92,643.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,042 : 63,147 = 63,147 : x
  2. Step 2: Convert to fraction form
    43,042/63,147 = 63,147/x
  3. Step 3: Cross multiply
    43,042x = 63,147 × 63,147
  4. Step 4: Simplify right side
    43,042x = 3,987,543,609
  5. Step 5: Solve for x
    x = 3,987,543,609/43,042
  6. Step 6: Final answer
    x = 92,643.08

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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.