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Finding the Third Proportional to 127,543.13 and 278,050.88

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Solution

The third proportional to 127,543.13 and 278,050.88 is: 606,165.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,543.13 : 278,050.88 = 278,050.88 : x
  2. Step 2: Convert to fraction form
    127,543.13/278,050.88 = 278,050.88/x
  3. Step 3: Cross multiply
    127,543.13x = 278,050.88 × 278,050.88
  4. Step 4: Simplify right side
    127,543.13x = 77,312,289,088.27
  5. Step 5: Solve for x
    x = 77,312,289,088.27/127,543.13
  6. Step 6: Final answer
    x = 606,165.87

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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.