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Finding the Third Proportional to 68,384 and 147,640

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Solution

The third proportional to 68,384 and 147,640 is: 318,752.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,384 : 147,640 = 147,640 : x
  2. Step 2: Convert to fraction form
    68,384/147,640 = 147,640/x
  3. Step 3: Cross multiply
    68,384x = 147,640 × 147,640
  4. Step 4: Simplify right side
    68,384x = 21,797,569,600
  5. Step 5: Solve for x
    x = 21,797,569,600/68,384
  6. Step 6: Final answer
    x = 318,752.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.