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Finding the Third Proportional to 101,751.75 and 149,579

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Solution

The third proportional to 101,751.75 and 149,579 is: 219,886.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,751.75 : 149,579 = 149,579 : x
  2. Step 2: Convert to fraction form
    101,751.75/149,579 = 149,579/x
  3. Step 3: Cross multiply
    101,751.75x = 149,579 × 149,579
  4. Step 4: Simplify right side
    101,751.75x = 22,373,877,241
  5. Step 5: Solve for x
    x = 22,373,877,241/101,751.75
  6. Step 6: Final answer
    x = 219,886.90

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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.