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Finding the Third Proportional to 127,854 and 191,778.75

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Solution

The third proportional to 127,854 and 191,778.75 is: 287,664.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,854 : 191,778.75 = 191,778.75 : x
  2. Step 2: Convert to fraction form
    127,854/191,778.75 = 191,778.75/x
  3. Step 3: Cross multiply
    127,854x = 191,778.75 × 191,778.75
  4. Step 4: Simplify right side
    127,854x = 36,779,088,951.56
  5. Step 5: Solve for x
    x = 36,779,088,951.56/127,854
  6. Step 6: Final answer
    x = 287,664.75

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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.