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Finding the Third Proportional to 59,644 and 106,328

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Solution

The third proportional to 59,644 and 106,328 is: 189,552.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,644 : 106,328 = 106,328 : x
  2. Step 2: Convert to fraction form
    59,644/106,328 = 106,328/x
  3. Step 3: Cross multiply
    59,644x = 106,328 × 106,328
  4. Step 4: Simplify right side
    59,644x = 11,305,643,584
  5. Step 5: Solve for x
    x = 11,305,643,584/59,644
  6. Step 6: Final answer
    x = 189,552.07

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.