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Finding the Third Proportional to 67,048 and 147,488

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Solution

The third proportional to 67,048 and 147,488 is: 324,434.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,048 : 147,488 = 147,488 : x
  2. Step 2: Convert to fraction form
    67,048/147,488 = 147,488/x
  3. Step 3: Cross multiply
    67,048x = 147,488 × 147,488
  4. Step 4: Simplify right side
    67,048x = 21,752,710,144
  5. Step 5: Solve for x
    x = 21,752,710,144/67,048
  6. Step 6: Final answer
    x = 324,434.88

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.