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Finding the Third Proportional to 108,708 and 150,210

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Solution

The third proportional to 108,708 and 150,210 is: 207,556.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,708 : 150,210 = 150,210 : x
  2. Step 2: Convert to fraction form
    108,708/150,210 = 150,210/x
  3. Step 3: Cross multiply
    108,708x = 150,210 × 150,210
  4. Step 4: Simplify right side
    108,708x = 22,563,044,100
  5. Step 5: Solve for x
    x = 22,563,044,100/108,708
  6. Step 6: Final answer
    x = 207,556.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.