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Finding the Third Proportional to 60,409 and 142,144

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Solution

The third proportional to 60,409 and 142,144 is: 334,468.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,409 : 142,144 = 142,144 : x
  2. Step 2: Convert to fraction form
    60,409/142,144 = 142,144/x
  3. Step 3: Cross multiply
    60,409x = 142,144 × 142,144
  4. Step 4: Simplify right side
    60,409x = 20,204,916,736
  5. Step 5: Solve for x
    x = 20,204,916,736/60,409
  6. Step 6: Final answer
    x = 334,468.65

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.