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Finding the Third Proportional to 59,146 and 91,634

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Solution

The third proportional to 59,146 and 91,634 is: 141,967.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,146 : 91,634 = 91,634 : x
  2. Step 2: Convert to fraction form
    59,146/91,634 = 91,634/x
  3. Step 3: Cross multiply
    59,146x = 91,634 × 91,634
  4. Step 4: Simplify right side
    59,146x = 8,396,789,956
  5. Step 5: Solve for x
    x = 8,396,789,956/59,146
  6. Step 6: Final answer
    x = 141,967.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.