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Finding the Third Proportional to 96,042.50 and 138,753

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Solution

The third proportional to 96,042.50 and 138,753 is: 200,457.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,042.50 : 138,753 = 138,753 : x
  2. Step 2: Convert to fraction form
    96,042.50/138,753 = 138,753/x
  3. Step 3: Cross multiply
    96,042.50x = 138,753 × 138,753
  4. Step 4: Simplify right side
    96,042.50x = 19,252,395,009
  5. Step 5: Solve for x
    x = 19,252,395,009/96,042.50
  6. Step 6: Final answer
    x = 200,457.04

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.