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Finding the Third Proportional to 63,762 and 136,200

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Solution

The third proportional to 63,762 and 136,200 is: 290,932.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,762 : 136,200 = 136,200 : x
  2. Step 2: Convert to fraction form
    63,762/136,200 = 136,200/x
  3. Step 3: Cross multiply
    63,762x = 136,200 × 136,200
  4. Step 4: Simplify right side
    63,762x = 18,550,440,000
  5. Step 5: Solve for x
    x = 18,550,440,000/63,762
  6. Step 6: Final answer
    x = 290,932.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.