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Finding the Third Proportional to 60,960 and 94,200

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Solution

The third proportional to 60,960 and 94,200 is: 145,564.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,960 : 94,200 = 94,200 : x
  2. Step 2: Convert to fraction form
    60,960/94,200 = 94,200/x
  3. Step 3: Cross multiply
    60,960x = 94,200 × 94,200
  4. Step 4: Simplify right side
    60,960x = 8,873,640,000
  5. Step 5: Solve for x
    x = 8,873,640,000/60,960
  6. Step 6: Final answer
    x = 145,564.96

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.