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Finding the Third Proportional to 63,380 and 136,120

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Solution

The third proportional to 63,380 and 136,120 is: 292,342.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,380 : 136,120 = 136,120 : x
  2. Step 2: Convert to fraction form
    63,380/136,120 = 136,120/x
  3. Step 3: Cross multiply
    63,380x = 136,120 × 136,120
  4. Step 4: Simplify right side
    63,380x = 18,528,654,400
  5. Step 5: Solve for x
    x = 18,528,654,400/63,380
  6. Step 6: Final answer
    x = 292,342.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.