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Finding the Third Proportional to 66,648 and 141,932

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Solution

The third proportional to 66,648 and 141,932 is: 302,255.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,648 : 141,932 = 141,932 : x
  2. Step 2: Convert to fraction form
    66,648/141,932 = 141,932/x
  3. Step 3: Cross multiply
    66,648x = 141,932 × 141,932
  4. Step 4: Simplify right side
    66,648x = 20,144,692,624
  5. Step 5: Solve for x
    x = 20,144,692,624/66,648
  6. Step 6: Final answer
    x = 302,255.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.