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Finding the Third Proportional to 63,230 and 136,262

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Solution

The third proportional to 63,230 and 136,262 is: 293,647.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,230 : 136,262 = 136,262 : x
  2. Step 2: Convert to fraction form
    63,230/136,262 = 136,262/x
  3. Step 3: Cross multiply
    63,230x = 136,262 × 136,262
  4. Step 4: Simplify right side
    63,230x = 18,567,332,644
  5. Step 5: Solve for x
    x = 18,567,332,644/63,230
  6. Step 6: Final answer
    x = 293,647.52

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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.