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Finding the Third Proportional to 125,526 and 191,230

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Solution

The third proportional to 125,526 and 191,230 is: 291,325.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,526 : 191,230 = 191,230 : x
  2. Step 2: Convert to fraction form
    125,526/191,230 = 191,230/x
  3. Step 3: Cross multiply
    125,526x = 191,230 × 191,230
  4. Step 4: Simplify right side
    125,526x = 36,568,912,900
  5. Step 5: Solve for x
    x = 36,568,912,900/125,526
  6. Step 6: Final answer
    x = 291,325.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.