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Finding the Third Proportional to 100,744 and 136,332

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Solution

The third proportional to 100,744 and 136,332 is: 184,491.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,744 : 136,332 = 136,332 : x
  2. Step 2: Convert to fraction form
    100,744/136,332 = 136,332/x
  3. Step 3: Cross multiply
    100,744x = 136,332 × 136,332
  4. Step 4: Simplify right side
    100,744x = 18,586,414,224
  5. Step 5: Solve for x
    x = 18,586,414,224/100,744
  6. Step 6: Final answer
    x = 184,491.53

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.