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Finding the Third Proportional to 125,282 and 191,892

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Solution

The third proportional to 125,282 and 191,892 is: 293,917.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,282 : 191,892 = 191,892 : x
  2. Step 2: Convert to fraction form
    125,282/191,892 = 191,892/x
  3. Step 3: Cross multiply
    125,282x = 191,892 × 191,892
  4. Step 4: Simplify right side
    125,282x = 36,822,539,664
  5. Step 5: Solve for x
    x = 36,822,539,664/125,282
  6. Step 6: Final answer
    x = 293,917.24

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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.