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Finding the Third Proportional to 60,368 and 91,845

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Solution

The third proportional to 60,368 and 91,845 is: 139,734.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,368 : 91,845 = 91,845 : x
  2. Step 2: Convert to fraction form
    60,368/91,845 = 91,845/x
  3. Step 3: Cross multiply
    60,368x = 91,845 × 91,845
  4. Step 4: Simplify right side
    60,368x = 8,435,504,025
  5. Step 5: Solve for x
    x = 8,435,504,025/60,368
  6. Step 6: Final answer
    x = 139,734.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.