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Finding the Third Proportional to 59,483 and 81,564

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Solution

The third proportional to 59,483 and 81,564 is: 111,841.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,483 : 81,564 = 81,564 : x
  2. Step 2: Convert to fraction form
    59,483/81,564 = 81,564/x
  3. Step 3: Cross multiply
    59,483x = 81,564 × 81,564
  4. Step 4: Simplify right side
    59,483x = 6,652,686,096
  5. Step 5: Solve for x
    x = 6,652,686,096/59,483
  6. Step 6: Final answer
    x = 111,841.81

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.