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Finding the Third Proportional to 120,049 and 257,593.50

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Solution

The third proportional to 120,049 and 257,593.50 is: 552,727.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,049 : 257,593.50 = 257,593.50 : x
  2. Step 2: Convert to fraction form
    120,049/257,593.50 = 257,593.50/x
  3. Step 3: Cross multiply
    120,049x = 257,593.50 × 257,593.50
  4. Step 4: Simplify right side
    120,049x = 66,354,411,242.25
  5. Step 5: Solve for x
    x = 66,354,411,242.25/120,049
  6. Step 6: Final answer
    x = 552,727.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.