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Finding the Third Proportional to 60,039 and 140,254

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Solution

The third proportional to 60,039 and 140,254 is: 327,640.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,039 : 140,254 = 140,254 : x
  2. Step 2: Convert to fraction form
    60,039/140,254 = 140,254/x
  3. Step 3: Cross multiply
    60,039x = 140,254 × 140,254
  4. Step 4: Simplify right side
    60,039x = 19,671,184,516
  5. Step 5: Solve for x
    x = 19,671,184,516/60,039
  6. Step 6: Final answer
    x = 327,640.11

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.