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Finding the Third Proportional to 59,439 and 123,859.50

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Solution

The third proportional to 59,439 and 123,859.50 is: 258,099.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,439 : 123,859.50 = 123,859.50 : x
  2. Step 2: Convert to fraction form
    59,439/123,859.50 = 123,859.50/x
  3. Step 3: Cross multiply
    59,439x = 123,859.50 × 123,859.50
  4. Step 4: Simplify right side
    59,439x = 15,341,175,740.25
  5. Step 5: Solve for x
    x = 15,341,175,740.25/59,439
  6. Step 6: Final answer
    x = 258,099.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.