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Finding the Third Proportional to 60,176 and 91,676

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Solution

The third proportional to 60,176 and 91,676 is: 139,665.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,176 : 91,676 = 91,676 : x
  2. Step 2: Convert to fraction form
    60,176/91,676 = 91,676/x
  3. Step 3: Cross multiply
    60,176x = 91,676 × 91,676
  4. Step 4: Simplify right side
    60,176x = 8,404,488,976
  5. Step 5: Solve for x
    x = 8,404,488,976/60,176
  6. Step 6: Final answer
    x = 139,665.13

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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.