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Finding the Third Proportional to 63,352 and 136,064

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Solution

The third proportional to 63,352 and 136,064 is: 292,230.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,352 : 136,064 = 136,064 : x
  2. Step 2: Convert to fraction form
    63,352/136,064 = 136,064/x
  3. Step 3: Cross multiply
    63,352x = 136,064 × 136,064
  4. Step 4: Simplify right side
    63,352x = 18,513,412,096
  5. Step 5: Solve for x
    x = 18,513,412,096/63,352
  6. Step 6: Final answer
    x = 292,230.90

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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.