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Finding the Third Proportional to 59,858 and 89,268

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Solution

The third proportional to 59,858 and 89,268 is: 133,128

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,858 : 89,268 = 89,268 : x
  2. Step 2: Convert to fraction form
    59,858/89,268 = 89,268/x
  3. Step 3: Cross multiply
    59,858x = 89,268 × 89,268
  4. Step 4: Simplify right side
    59,858x = 7,968,775,824
  5. Step 5: Solve for x
    x = 7,968,775,824/59,858
  6. Step 6: Final answer
    x = 133,128

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.