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Finding the Third Proportional to 56,147.53 and 84,134.63

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Solution

The third proportional to 56,147.53 and 84,134.63 is: 126,072.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,147.53 : 84,134.63 = 84,134.63 : x
  2. Step 2: Convert to fraction form
    56,147.53/84,134.63 = 84,134.63/x
  3. Step 3: Cross multiply
    56,147.53x = 84,134.63 × 84,134.63
  4. Step 4: Simplify right side
    56,147.53x = 7,078,635,123.89
  5. Step 5: Solve for x
    x = 7,078,635,123.89/56,147.53
  6. Step 6: Final answer
    x = 126,072.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.