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Finding the Third Proportional to 123,718.50 and 275,769

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Solution

The third proportional to 123,718.50 and 275,769 is: 614,690.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,718.50 : 275,769 = 275,769 : x
  2. Step 2: Convert to fraction form
    123,718.50/275,769 = 275,769/x
  3. Step 3: Cross multiply
    123,718.50x = 275,769 × 275,769
  4. Step 4: Simplify right side
    123,718.50x = 76,048,541,361
  5. Step 5: Solve for x
    x = 76,048,541,361/123,718.50
  6. Step 6: Final answer
    x = 614,690.13

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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.