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Finding the Third Proportional to 123,158.75 and 185,619

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Solution

The third proportional to 123,158.75 and 185,619 is: 279,756.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,158.75 : 185,619 = 185,619 : x
  2. Step 2: Convert to fraction form
    123,158.75/185,619 = 185,619/x
  3. Step 3: Cross multiply
    123,158.75x = 185,619 × 185,619
  4. Step 4: Simplify right side
    123,158.75x = 34,454,413,161
  5. Step 5: Solve for x
    x = 34,454,413,161/123,158.75
  6. Step 6: Final answer
    x = 279,756.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.