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Finding the Third Proportional to 71,593 and 154,985

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Solution

The third proportional to 71,593 and 154,985 is: 335,512.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,593 : 154,985 = 154,985 : x
  2. Step 2: Convert to fraction form
    71,593/154,985 = 154,985/x
  3. Step 3: Cross multiply
    71,593x = 154,985 × 154,985
  4. Step 4: Simplify right side
    71,593x = 24,020,350,225
  5. Step 5: Solve for x
    x = 24,020,350,225/71,593
  6. Step 6: Final answer
    x = 335,512.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.