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Finding the Third Proportional to 126,365 and 197,150

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Solution

The third proportional to 126,365 and 197,150 is: 307,586.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,365 : 197,150 = 197,150 : x
  2. Step 2: Convert to fraction form
    126,365/197,150 = 197,150/x
  3. Step 3: Cross multiply
    126,365x = 197,150 × 197,150
  4. Step 4: Simplify right side
    126,365x = 38,868,122,500
  5. Step 5: Solve for x
    x = 38,868,122,500/126,365
  6. Step 6: Final answer
    x = 307,586.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.