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Finding the Third Proportional to 86,509 and 187,706

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Solution

The third proportional to 86,509 and 187,706 is: 407,281.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,509 : 187,706 = 187,706 : x
  2. Step 2: Convert to fraction form
    86,509/187,706 = 187,706/x
  3. Step 3: Cross multiply
    86,509x = 187,706 × 187,706
  4. Step 4: Simplify right side
    86,509x = 35,233,542,436
  5. Step 5: Solve for x
    x = 35,233,542,436/86,509
  6. Step 6: Final answer
    x = 407,281.81

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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.