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Finding the Third Proportional to 94,216 and 132,047

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Solution

The third proportional to 94,216 and 132,047 is: 185,068.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,216 : 132,047 = 132,047 : x
  2. Step 2: Convert to fraction form
    94,216/132,047 = 132,047/x
  3. Step 3: Cross multiply
    94,216x = 132,047 × 132,047
  4. Step 4: Simplify right side
    94,216x = 17,436,410,209
  5. Step 5: Solve for x
    x = 17,436,410,209/94,216
  6. Step 6: Final answer
    x = 185,068.46

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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.