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Finding the Third Proportional to 63,465.75 and 136,500.75

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Solution

The third proportional to 63,465.75 and 136,500.75 is: 293,582.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,465.75 : 136,500.75 = 136,500.75 : x
  2. Step 2: Convert to fraction form
    63,465.75/136,500.75 = 136,500.75/x
  3. Step 3: Cross multiply
    63,465.75x = 136,500.75 × 136,500.75
  4. Step 4: Simplify right side
    63,465.75x = 18,632,454,750.56
  5. Step 5: Solve for x
    x = 18,632,454,750.56/63,465.75
  6. Step 6: Final answer
    x = 293,582.83

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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.