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Finding the Third Proportional to 54,041 and 86,332

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Solution

The third proportional to 54,041 and 86,332 is: 137,917.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,041 : 86,332 = 86,332 : x
  2. Step 2: Convert to fraction form
    54,041/86,332 = 86,332/x
  3. Step 3: Cross multiply
    54,041x = 86,332 × 86,332
  4. Step 4: Simplify right side
    54,041x = 7,453,214,224
  5. Step 5: Solve for x
    x = 7,453,214,224/54,041
  6. Step 6: Final answer
    x = 137,917.77

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.