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Finding the Third Proportional to 63,706.50 and 135,001.69

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Solution

The third proportional to 63,706.50 and 135,001.69 is: 286,084.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,706.50 : 135,001.69 = 135,001.69 : x
  2. Step 2: Convert to fraction form
    63,706.50/135,001.69 = 135,001.69/x
  3. Step 3: Cross multiply
    63,706.50x = 135,001.69 × 135,001.69
  4. Step 4: Simplify right side
    63,706.50x = 18,225,455,627.85
  5. Step 5: Solve for x
    x = 18,225,455,627.85/63,706.50
  6. Step 6: Final answer
    x = 286,084.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.