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Finding the Third Proportional to 127,875.38 and 269,007.75

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Solution

The third proportional to 127,875.38 and 269,007.75 is: 565,903.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,875.38 : 269,007.75 = 269,007.75 : x
  2. Step 2: Convert to fraction form
    127,875.38/269,007.75 = 269,007.75/x
  3. Step 3: Cross multiply
    127,875.38x = 269,007.75 × 269,007.75
  4. Step 4: Simplify right side
    127,875.38x = 72,365,169,560.06
  5. Step 5: Solve for x
    x = 72,365,169,560.06/127,875.38
  6. Step 6: Final answer
    x = 565,903.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.