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Finding the Third Proportional to 127,570.50 and 278,100

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Solution

The third proportional to 127,570.50 and 278,100 is: 606,249.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,570.50 : 278,100 = 278,100 : x
  2. Step 2: Convert to fraction form
    127,570.50/278,100 = 278,100/x
  3. Step 3: Cross multiply
    127,570.50x = 278,100 × 278,100
  4. Step 4: Simplify right side
    127,570.50x = 77,339,610,000
  5. Step 5: Solve for x
    x = 77,339,610,000/127,570.50
  6. Step 6: Final answer
    x = 606,249.96

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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.