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Finding the Third Proportional to 127,542.94 and 278,047.69

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Solution

The third proportional to 127,542.94 and 278,047.69 is: 606,152.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,542.94 : 278,047.69 = 278,047.69 : x
  2. Step 2: Convert to fraction form
    127,542.94/278,047.69 = 278,047.69/x
  3. Step 3: Cross multiply
    127,542.94x = 278,047.69 × 278,047.69
  4. Step 4: Simplify right side
    127,542.94x = 77,310,516,524.10
  5. Step 5: Solve for x
    x = 77,310,516,524.10/127,542.94
  6. Step 6: Final answer
    x = 606,152.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.