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Finding the Third Proportional to 126,952 and 197,207

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Solution

The third proportional to 126,952 and 197,207 is: 306,340.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,952 : 197,207 = 197,207 : x
  2. Step 2: Convert to fraction form
    126,952/197,207 = 197,207/x
  3. Step 3: Cross multiply
    126,952x = 197,207 × 197,207
  4. Step 4: Simplify right side
    126,952x = 38,890,600,849
  5. Step 5: Solve for x
    x = 38,890,600,849/126,952
  6. Step 6: Final answer
    x = 306,340.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.