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Finding the Third Proportional to 101,753.09 and 149,581.05

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Solution

The third proportional to 101,753.09 and 149,581.05 is: 219,890.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,753.09 : 149,581.05 = 149,581.05 : x
  2. Step 2: Convert to fraction form
    101,753.09/149,581.05 = 149,581.05/x
  3. Step 3: Cross multiply
    101,753.09x = 149,581.05 × 149,581.05
  4. Step 4: Simplify right side
    101,753.09x = 22,374,491,921.42
  5. Step 5: Solve for x
    x = 22,374,491,921.42/101,753.09
  6. Step 6: Final answer
    x = 219,890.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.