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Finding the Third Proportional to 63,306 and 136,452

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Solution

The third proportional to 63,306 and 136,452 is: 294,113.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,306 : 136,452 = 136,452 : x
  2. Step 2: Convert to fraction form
    63,306/136,452 = 136,452/x
  3. Step 3: Cross multiply
    63,306x = 136,452 × 136,452
  4. Step 4: Simplify right side
    63,306x = 18,619,148,304
  5. Step 5: Solve for x
    x = 18,619,148,304/63,306
  6. Step 6: Final answer
    x = 294,113.49

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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.