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Finding the Third Proportional to 108,034.50 and 163,542.38

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Solution

The third proportional to 108,034.50 and 163,542.38 is: 247,570.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,034.50 : 163,542.38 = 163,542.38 : x
  2. Step 2: Convert to fraction form
    108,034.50/163,542.38 = 163,542.38/x
  3. Step 3: Cross multiply
    108,034.50x = 163,542.38 × 163,542.38
  4. Step 4: Simplify right side
    108,034.50x = 26,746,108,420.64
  5. Step 5: Solve for x
    x = 26,746,108,420.64/108,034.50
  6. Step 6: Final answer
    x = 247,570.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.