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Finding the Third Proportional to 42,488 and 67,502

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Solution

The third proportional to 42,488 and 67,502 is: 107,242.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,488 : 67,502 = 67,502 : x
  2. Step 2: Convert to fraction form
    42,488/67,502 = 67,502/x
  3. Step 3: Cross multiply
    42,488x = 67,502 × 67,502
  4. Step 4: Simplify right side
    42,488x = 4,556,520,004
  5. Step 5: Solve for x
    x = 4,556,520,004/42,488
  6. Step 6: Final answer
    x = 107,242.52

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.