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Finding the Third Proportional to 127,848.38 and 191,772.56

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Solution

The third proportional to 127,848.38 and 191,772.56 is: 287,658.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,848.38 : 191,772.56 = 191,772.56 : x
  2. Step 2: Convert to fraction form
    127,848.38/191,772.56 = 191,772.56/x
  3. Step 3: Cross multiply
    127,848.38x = 191,772.56 × 191,772.56
  4. Step 4: Simplify right side
    127,848.38x = 36,776,715,727.82
  5. Step 5: Solve for x
    x = 36,776,715,727.82/127,848.38
  6. Step 6: Final answer
    x = 287,658.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.