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Finding the Third Proportional to 94,186.50 and 132,002.25

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Solution

The third proportional to 94,186.50 and 132,002.25 is: 185,000.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,186.50 : 132,002.25 = 132,002.25 : x
  2. Step 2: Convert to fraction form
    94,186.50/132,002.25 = 132,002.25/x
  3. Step 3: Cross multiply
    94,186.50x = 132,002.25 × 132,002.25
  4. Step 4: Simplify right side
    94,186.50x = 17,424,594,005.06
  5. Step 5: Solve for x
    x = 17,424,594,005.06/94,186.50
  6. Step 6: Final answer
    x = 185,000.97

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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.