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Finding the Third Proportional to 63,034.50 and 136,569.50

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Solution

The third proportional to 63,034.50 and 136,569.50 is: 295,889.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,034.50 : 136,569.50 = 136,569.50 : x
  2. Step 2: Convert to fraction form
    63,034.50/136,569.50 = 136,569.50/x
  3. Step 3: Cross multiply
    63,034.50x = 136,569.50 × 136,569.50
  4. Step 4: Simplify right side
    63,034.50x = 18,651,228,330.25
  5. Step 5: Solve for x
    x = 18,651,228,330.25/63,034.50
  6. Step 6: Final answer
    x = 295,889.21

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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.