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Finding the Third Proportional to 125,305 and 191,927

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Solution

The third proportional to 125,305 and 191,927 is: 293,970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,305 : 191,927 = 191,927 : x
  2. Step 2: Convert to fraction form
    125,305/191,927 = 191,927/x
  3. Step 3: Cross multiply
    125,305x = 191,927 × 191,927
  4. Step 4: Simplify right side
    125,305x = 36,835,973,329
  5. Step 5: Solve for x
    x = 36,835,973,329/125,305
  6. Step 6: Final answer
    x = 293,970.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.