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Finding the Third Proportional to 126,298.30 and 188,948.64

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Solution

The third proportional to 126,298.30 and 188,948.64 is: 282,676.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,298.30 : 188,948.64 = 188,948.64 : x
  2. Step 2: Convert to fraction form
    126,298.30/188,948.64 = 188,948.64/x
  3. Step 3: Cross multiply
    126,298.30x = 188,948.64 × 188,948.64
  4. Step 4: Simplify right side
    126,298.30x = 35,701,587,317.87
  5. Step 5: Solve for x
    x = 35,701,587,317.87/126,298.30
  6. Step 6: Final answer
    x = 282,676.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.