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Finding the Third Proportional to 86,074 and 187,724

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Solution

The third proportional to 86,074 and 187,724 is: 409,418.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,074 : 187,724 = 187,724 : x
  2. Step 2: Convert to fraction form
    86,074/187,724 = 187,724/x
  3. Step 3: Cross multiply
    86,074x = 187,724 × 187,724
  4. Step 4: Simplify right side
    86,074x = 35,240,300,176
  5. Step 5: Solve for x
    x = 35,240,300,176/86,074
  6. Step 6: Final answer
    x = 409,418.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.