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Finding the Third Proportional to 86,072 and 186,448

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Solution

The third proportional to 86,072 and 186,448 is: 403,881.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,072 : 186,448 = 186,448 : x
  2. Step 2: Convert to fraction form
    86,072/186,448 = 186,448/x
  3. Step 3: Cross multiply
    86,072x = 186,448 × 186,448
  4. Step 4: Simplify right side
    86,072x = 34,762,856,704
  5. Step 5: Solve for x
    x = 34,762,856,704/86,072
  6. Step 6: Final answer
    x = 403,881.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.