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Finding the Third Proportional to 62,304 and 140,208

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Solution

The third proportional to 62,304 and 140,208 is: 315,522.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,304 : 140,208 = 140,208 : x
  2. Step 2: Convert to fraction form
    62,304/140,208 = 140,208/x
  3. Step 3: Cross multiply
    62,304x = 140,208 × 140,208
  4. Step 4: Simplify right side
    62,304x = 19,658,283,264
  5. Step 5: Solve for x
    x = 19,658,283,264/62,304
  6. Step 6: Final answer
    x = 315,522.01

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.