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Finding the Third Proportional to 63,034 and 136,569

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Solution

The third proportional to 63,034 and 136,569 is: 295,889.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,034 : 136,569 = 136,569 : x
  2. Step 2: Convert to fraction form
    63,034/136,569 = 136,569/x
  3. Step 3: Cross multiply
    63,034x = 136,569 × 136,569
  4. Step 4: Simplify right side
    63,034x = 18,651,091,761
  5. Step 5: Solve for x
    x = 18,651,091,761/63,034
  6. Step 6: Final answer
    x = 295,889.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.