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Finding the Third Proportional to 63,353 and 136,066

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Solution

The third proportional to 63,353 and 136,066 is: 292,234.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,353 : 136,066 = 136,066 : x
  2. Step 2: Convert to fraction form
    63,353/136,066 = 136,066/x
  3. Step 3: Cross multiply
    63,353x = 136,066 × 136,066
  4. Step 4: Simplify right side
    63,353x = 18,513,956,356
  5. Step 5: Solve for x
    x = 18,513,956,356/63,353
  6. Step 6: Final answer
    x = 292,234.88

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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.