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Finding the Third Proportional to 101,959 and 149,929

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Solution

The third proportional to 101,959 and 149,929 is: 220,468.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,959 : 149,929 = 149,929 : x
  2. Step 2: Convert to fraction form
    101,959/149,929 = 149,929/x
  3. Step 3: Cross multiply
    101,959x = 149,929 × 149,929
  4. Step 4: Simplify right side
    101,959x = 22,478,705,041
  5. Step 5: Solve for x
    x = 22,478,705,041/101,959
  6. Step 6: Final answer
    x = 220,468.08

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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.