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Finding the Third Proportional to 126,848 and 197,535

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Solution

The third proportional to 126,848 and 197,535 is: 307,612.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,848 : 197,535 = 197,535 : x
  2. Step 2: Convert to fraction form
    126,848/197,535 = 197,535/x
  3. Step 3: Cross multiply
    126,848x = 197,535 × 197,535
  4. Step 4: Simplify right side
    126,848x = 39,020,076,225
  5. Step 5: Solve for x
    x = 39,020,076,225/126,848
  6. Step 6: Final answer
    x = 307,612.86

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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.