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Finding the Third Proportional to 123,060 and 289,745.50

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Solution

The third proportional to 123,060 and 289,745.50 is: 682,207.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,060 : 289,745.50 = 289,745.50 : x
  2. Step 2: Convert to fraction form
    123,060/289,745.50 = 289,745.50/x
  3. Step 3: Cross multiply
    123,060x = 289,745.50 × 289,745.50
  4. Step 4: Simplify right side
    123,060x = 83,952,454,770.25
  5. Step 5: Solve for x
    x = 83,952,454,770.25/123,060
  6. Step 6: Final answer
    x = 682,207.50

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.