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Finding the Third Proportional to 60,684 and 94,990

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Solution

The third proportional to 60,684 and 94,990 is: 148,689.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,684 : 94,990 = 94,990 : x
  2. Step 2: Convert to fraction form
    60,684/94,990 = 94,990/x
  3. Step 3: Cross multiply
    60,684x = 94,990 × 94,990
  4. Step 4: Simplify right side
    60,684x = 9,023,100,100
  5. Step 5: Solve for x
    x = 9,023,100,100/60,684
  6. Step 6: Final answer
    x = 148,689.94

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.