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Finding the Third Proportional to 60,793 and 90,946

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Solution

The third proportional to 60,793 and 90,946 is: 136,054.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,793 : 90,946 = 90,946 : x
  2. Step 2: Convert to fraction form
    60,793/90,946 = 90,946/x
  3. Step 3: Cross multiply
    60,793x = 90,946 × 90,946
  4. Step 4: Simplify right side
    60,793x = 8,271,174,916
  5. Step 5: Solve for x
    x = 8,271,174,916/60,793
  6. Step 6: Final answer
    x = 136,054.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.