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Finding the Third Proportional to 94,194 and 132,013.50

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Solution

The third proportional to 94,194 and 132,013.50 is: 185,017.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,194 : 132,013.50 = 132,013.50 : x
  2. Step 2: Convert to fraction form
    94,194/132,013.50 = 132,013.50/x
  3. Step 3: Cross multiply
    94,194x = 132,013.50 × 132,013.50
  4. Step 4: Simplify right side
    94,194x = 17,427,564,182.25
  5. Step 5: Solve for x
    x = 17,427,564,182.25/94,194
  6. Step 6: Final answer
    x = 185,017.77

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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.