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Finding the Third Proportional to 60,840 and 94,164

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Solution

The third proportional to 60,840 and 94,164 is: 145,740.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,840 : 94,164 = 94,164 : x
  2. Step 2: Convert to fraction form
    60,840/94,164 = 94,164/x
  3. Step 3: Cross multiply
    60,840x = 94,164 × 94,164
  4. Step 4: Simplify right side
    60,840x = 8,866,858,896
  5. Step 5: Solve for x
    x = 8,866,858,896/60,840
  6. Step 6: Final answer
    x = 145,740.61

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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.