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Finding the Third Proportional to 67,048 and 147,379

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Solution

The third proportional to 67,048 and 147,379 is: 323,955.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,048 : 147,379 = 147,379 : x
  2. Step 2: Convert to fraction form
    67,048/147,379 = 147,379/x
  3. Step 3: Cross multiply
    67,048x = 147,379 × 147,379
  4. Step 4: Simplify right side
    67,048x = 21,720,569,641
  5. Step 5: Solve for x
    x = 21,720,569,641/67,048
  6. Step 6: Final answer
    x = 323,955.52

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Why These Related Problems?

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