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Finding the Third Proportional to 101,742.75 and 149,569.03

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Solution

The third proportional to 101,742.75 and 149,569.03 is: 219,877.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,742.75 : 149,569.03 = 149,569.03 : x
  2. Step 2: Convert to fraction form
    101,742.75/149,569.03 = 149,569.03/x
  3. Step 3: Cross multiply
    101,742.75x = 149,569.03 × 149,569.03
  4. Step 4: Simplify right side
    101,742.75x = 22,370,895,109.06
  5. Step 5: Solve for x
    x = 22,370,895,109.06/101,742.75
  6. Step 6: Final answer
    x = 219,877.04

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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.