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Finding the Third Proportional to 60,322 and 92,667

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Solution

The third proportional to 60,322 and 92,667 is: 142,355.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,322 : 92,667 = 92,667 : x
  2. Step 2: Convert to fraction form
    60,322/92,667 = 92,667/x
  3. Step 3: Cross multiply
    60,322x = 92,667 × 92,667
  4. Step 4: Simplify right side
    60,322x = 8,587,172,889
  5. Step 5: Solve for x
    x = 8,587,172,889/60,322
  6. Step 6: Final answer
    x = 142,355.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.