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Finding the Third Proportional to 113,025.88 and 153,921.75

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Solution

The third proportional to 113,025.88 and 153,921.75 is: 209,614.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,025.88 : 153,921.75 = 153,921.75 : x
  2. Step 2: Convert to fraction form
    113,025.88/153,921.75 = 153,921.75/x
  3. Step 3: Cross multiply
    113,025.88x = 153,921.75 × 153,921.75
  4. Step 4: Simplify right side
    113,025.88x = 23,691,905,123.06
  5. Step 5: Solve for x
    x = 23,691,905,123.06/113,025.88
  6. Step 6: Final answer
    x = 209,614.88

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.