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Finding the Third Proportional to 108,077.63 and 173,647.13

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Solution

The third proportional to 108,077.63 and 173,647.13 is: 278,996.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,077.63 : 173,647.13 = 173,647.13 : x
  2. Step 2: Convert to fraction form
    108,077.63/173,647.13 = 173,647.13/x
  3. Step 3: Cross multiply
    108,077.63x = 173,647.13 × 173,647.13
  4. Step 4: Simplify right side
    108,077.63x = 30,153,324,020.77
  5. Step 5: Solve for x
    x = 30,153,324,020.77/108,077.63
  6. Step 6: Final answer
    x = 278,996.92

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.