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Finding the Third Proportional to 56,497.50 and 125,385.75

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Solution

The third proportional to 56,497.50 and 125,385.75 is: 278,270.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,497.50 : 125,385.75 = 125,385.75 : x
  2. Step 2: Convert to fraction form
    56,497.50/125,385.75 = 125,385.75/x
  3. Step 3: Cross multiply
    56,497.50x = 125,385.75 × 125,385.75
  4. Step 4: Simplify right side
    56,497.50x = 15,721,586,303.06
  5. Step 5: Solve for x
    x = 15,721,586,303.06/56,497.50
  6. Step 6: Final answer
    x = 278,270.48

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.