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Finding the Third Proportional to 94,186 and 132,002

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Solution

The third proportional to 94,186 and 132,002 is: 185,001.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,186 : 132,002 = 132,002 : x
  2. Step 2: Convert to fraction form
    94,186/132,002 = 132,002/x
  3. Step 3: Cross multiply
    94,186x = 132,002 × 132,002
  4. Step 4: Simplify right side
    94,186x = 17,424,528,004
  5. Step 5: Solve for x
    x = 17,424,528,004/94,186
  6. Step 6: Final answer
    x = 185,001.25

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.