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Finding the Third Proportional to 86,106 and 126,330

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Solution

The third proportional to 86,106 and 126,330 is: 185,344.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,106 : 126,330 = 126,330 : x
  2. Step 2: Convert to fraction form
    86,106/126,330 = 126,330/x
  3. Step 3: Cross multiply
    86,106x = 126,330 × 126,330
  4. Step 4: Simplify right side
    86,106x = 15,959,268,900
  5. Step 5: Solve for x
    x = 15,959,268,900/86,106
  6. Step 6: Final answer
    x = 185,344.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.