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Finding the Third Proportional to 125,056 and 193,927

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Solution

The third proportional to 125,056 and 193,927 is: 300,726.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,056 : 193,927 = 193,927 : x
  2. Step 2: Convert to fraction form
    125,056/193,927 = 193,927/x
  3. Step 3: Cross multiply
    125,056x = 193,927 × 193,927
  4. Step 4: Simplify right side
    125,056x = 37,607,681,329
  5. Step 5: Solve for x
    x = 37,607,681,329/125,056
  6. Step 6: Final answer
    x = 300,726.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.