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Finding the Third Proportional to 59,858.75 and 89,269

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Solution

The third proportional to 59,858.75 and 89,269 is: 133,129.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,858.75 : 89,269 = 89,269 : x
  2. Step 2: Convert to fraction form
    59,858.75/89,269 = 89,269/x
  3. Step 3: Cross multiply
    59,858.75x = 89,269 × 89,269
  4. Step 4: Simplify right side
    59,858.75x = 7,968,954,361
  5. Step 5: Solve for x
    x = 7,968,954,361/59,858.75
  6. Step 6: Final answer
    x = 133,129.31

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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.