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Finding the Third Proportional to 101,956 and 149,959

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Solution

The third proportional to 101,956 and 149,959 is: 220,562.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,956 : 149,959 = 149,959 : x
  2. Step 2: Convert to fraction form
    101,956/149,959 = 149,959/x
  3. Step 3: Cross multiply
    101,956x = 149,959 × 149,959
  4. Step 4: Simplify right side
    101,956x = 22,487,701,681
  5. Step 5: Solve for x
    x = 22,487,701,681/101,956
  6. Step 6: Final answer
    x = 220,562.81

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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.