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Finding the Third Proportional to 101,952 and 149,924

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Solution

The third proportional to 101,952 and 149,924 is: 220,468.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,952 : 149,924 = 149,924 : x
  2. Step 2: Convert to fraction form
    101,952/149,924 = 149,924/x
  3. Step 3: Cross multiply
    101,952x = 149,924 × 149,924
  4. Step 4: Simplify right side
    101,952x = 22,477,205,776
  5. Step 5: Solve for x
    x = 22,477,205,776/101,952
  6. Step 6: Final answer
    x = 220,468.51

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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.