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Finding the Third Proportional to 76,002 and 116,991

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Solution

The third proportional to 76,002 and 116,991 is: 180,085.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,002 : 116,991 = 116,991 : x
  2. Step 2: Convert to fraction form
    76,002/116,991 = 116,991/x
  3. Step 3: Cross multiply
    76,002x = 116,991 × 116,991
  4. Step 4: Simplify right side
    76,002x = 13,686,894,081
  5. Step 5: Solve for x
    x = 13,686,894,081/76,002
  6. Step 6: Final answer
    x = 180,085.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.