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Finding the Third Proportional to 57,087 and 123,985

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Solution

The third proportional to 57,087 and 123,985 is: 269,278.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,087 : 123,985 = 123,985 : x
  2. Step 2: Convert to fraction form
    57,087/123,985 = 123,985/x
  3. Step 3: Cross multiply
    57,087x = 123,985 × 123,985
  4. Step 4: Simplify right side
    57,087x = 15,372,280,225
  5. Step 5: Solve for x
    x = 15,372,280,225/57,087
  6. Step 6: Final answer
    x = 269,278.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.