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Finding the Third Proportional to 127,850.75 and 191,776.13

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Solution

The third proportional to 127,850.75 and 191,776.13 is: 287,664.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,850.75 : 191,776.13 = 191,776.13 : x
  2. Step 2: Convert to fraction form
    127,850.75/191,776.13 = 191,776.13/x
  3. Step 3: Cross multiply
    127,850.75x = 191,776.13 × 191,776.13
  4. Step 4: Simplify right side
    127,850.75x = 36,778,082,120.02
  5. Step 5: Solve for x
    x = 36,778,082,120.02/127,850.75
  6. Step 6: Final answer
    x = 287,664.19

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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.