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Finding the Third Proportional to 126,732 and 197,106

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Solution

The third proportional to 126,732 and 197,106 is: 306,558.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,732 : 197,106 = 197,106 : x
  2. Step 2: Convert to fraction form
    126,732/197,106 = 197,106/x
  3. Step 3: Cross multiply
    126,732x = 197,106 × 197,106
  4. Step 4: Simplify right side
    126,732x = 38,850,775,236
  5. Step 5: Solve for x
    x = 38,850,775,236/126,732
  6. Step 6: Final answer
    x = 306,558.53

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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.