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Finding the Third Proportional to 86,530 and 187,748

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Solution

The third proportional to 86,530 and 187,748 is: 407,365.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,530 : 187,748 = 187,748 : x
  2. Step 2: Convert to fraction form
    86,530/187,748 = 187,748/x
  3. Step 3: Cross multiply
    86,530x = 187,748 × 187,748
  4. Step 4: Simplify right side
    86,530x = 35,249,311,504
  5. Step 5: Solve for x
    x = 35,249,311,504/86,530
  6. Step 6: Final answer
    x = 407,365.21

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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.