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Finding the Third Proportional to 88,687 and 188,875

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Solution

The third proportional to 88,687 and 188,875 is: 402,243.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,687 : 188,875 = 188,875 : x
  2. Step 2: Convert to fraction form
    88,687/188,875 = 188,875/x
  3. Step 3: Cross multiply
    88,687x = 188,875 × 188,875
  4. Step 4: Simplify right side
    88,687x = 35,673,765,625
  5. Step 5: Solve for x
    x = 35,673,765,625/88,687
  6. Step 6: Final answer
    x = 402,243.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.