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Finding the Third Proportional to 126,850 and 197,538

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Solution

The third proportional to 126,850 and 197,538 is: 307,617.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,850 : 197,538 = 197,538 : x
  2. Step 2: Convert to fraction form
    126,850/197,538 = 197,538/x
  3. Step 3: Cross multiply
    126,850x = 197,538 × 197,538
  4. Step 4: Simplify right side
    126,850x = 39,021,261,444
  5. Step 5: Solve for x
    x = 39,021,261,444/126,850
  6. Step 6: Final answer
    x = 307,617.35

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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.