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Finding the Third Proportional to 101,742.75 and 149,569.88

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Solution

The third proportional to 101,742.75 and 149,569.88 is: 219,879.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,742.75 : 149,569.88 = 149,569.88 : x
  2. Step 2: Convert to fraction form
    101,742.75/149,569.88 = 149,569.88/x
  3. Step 3: Cross multiply
    101,742.75x = 149,569.88 × 149,569.88
  4. Step 4: Simplify right side
    101,742.75x = 22,371,147,507.52
  5. Step 5: Solve for x
    x = 22,371,147,507.52/101,742.75
  6. Step 6: Final answer
    x = 219,879.52

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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.