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Finding the Third Proportional to 123,703.50 and 275,739

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Solution

The third proportional to 123,703.50 and 275,739 is: 614,630.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,703.50 : 275,739 = 275,739 : x
  2. Step 2: Convert to fraction form
    123,703.50/275,739 = 275,739/x
  3. Step 3: Cross multiply
    123,703.50x = 275,739 × 275,739
  4. Step 4: Simplify right side
    123,703.50x = 76,031,996,121
  5. Step 5: Solve for x
    x = 76,031,996,121/123,703.50
  6. Step 6: Final answer
    x = 614,630.92

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.