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Finding the Third Proportional to 86,536 and 187,834

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Solution

The third proportional to 86,536 and 187,834 is: 407,710.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,536 : 187,834 = 187,834 : x
  2. Step 2: Convert to fraction form
    86,536/187,834 = 187,834/x
  3. Step 3: Cross multiply
    86,536x = 187,834 × 187,834
  4. Step 4: Simplify right side
    86,536x = 35,281,611,556
  5. Step 5: Solve for x
    x = 35,281,611,556/86,536
  6. Step 6: Final answer
    x = 407,710.22

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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.