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Finding the Third Proportional to 127,856.81 and 191,785.22

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Solution

The third proportional to 127,856.81 and 191,785.22 is: 287,677.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,856.81 : 191,785.22 = 191,785.22 : x
  2. Step 2: Convert to fraction form
    127,856.81/191,785.22 = 191,785.22/x
  3. Step 3: Cross multiply
    127,856.81x = 191,785.22 × 191,785.22
  4. Step 4: Simplify right side
    127,856.81x = 36,781,570,130.99
  5. Step 5: Solve for x
    x = 36,781,570,130.99/127,856.81
  6. Step 6: Final answer
    x = 287,677.83

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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.