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Finding the Third Proportional to 59,324 and 91,826

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Solution

The third proportional to 59,324 and 91,826 is: 142,134.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,324 : 91,826 = 91,826 : x
  2. Step 2: Convert to fraction form
    59,324/91,826 = 91,826/x
  3. Step 3: Cross multiply
    59,324x = 91,826 × 91,826
  4. Step 4: Simplify right side
    59,324x = 8,432,014,276
  5. Step 5: Solve for x
    x = 8,432,014,276/59,324
  6. Step 6: Final answer
    x = 142,134.96

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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.