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Finding the Third Proportional to 131,184 and 191,612

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Solution

The third proportional to 131,184 and 191,612 is: 279,875.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,184 : 191,612 = 191,612 : x
  2. Step 2: Convert to fraction form
    131,184/191,612 = 191,612/x
  3. Step 3: Cross multiply
    131,184x = 191,612 × 191,612
  4. Step 4: Simplify right side
    131,184x = 36,715,158,544
  5. Step 5: Solve for x
    x = 36,715,158,544/131,184
  6. Step 6: Final answer
    x = 279,875.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.