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Finding the Third Proportional to 56,527.50 and 122,897.25

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Solution

The third proportional to 56,527.50 and 122,897.25 is: 267,192.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,527.50 : 122,897.25 = 122,897.25 : x
  2. Step 2: Convert to fraction form
    56,527.50/122,897.25 = 122,897.25/x
  3. Step 3: Cross multiply
    56,527.50x = 122,897.25 × 122,897.25
  4. Step 4: Simplify right side
    56,527.50x = 15,103,734,057.56
  5. Step 5: Solve for x
    x = 15,103,734,057.56/56,527.50
  6. Step 6: Final answer
    x = 267,192.68

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.