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Finding the Third Proportional to 86,534 and 187,756

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Solution

The third proportional to 86,534 and 187,756 is: 407,381.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,534 : 187,756 = 187,756 : x
  2. Step 2: Convert to fraction form
    86,534/187,756 = 187,756/x
  3. Step 3: Cross multiply
    86,534x = 187,756 × 187,756
  4. Step 4: Simplify right side
    86,534x = 35,252,315,536
  5. Step 5: Solve for x
    x = 35,252,315,536/86,534
  6. Step 6: Final answer
    x = 407,381.09

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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.