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Finding the Third Proportional to 52,691 and 126,984.50

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Solution

The third proportional to 52,691 and 126,984.50 is: 306,030.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,691 : 126,984.50 = 126,984.50 : x
  2. Step 2: Convert to fraction form
    52,691/126,984.50 = 126,984.50/x
  3. Step 3: Cross multiply
    52,691x = 126,984.50 × 126,984.50
  4. Step 4: Simplify right side
    52,691x = 16,125,063,240.25
  5. Step 5: Solve for x
    x = 16,125,063,240.25/52,691
  6. Step 6: Final answer
    x = 306,030.69

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.