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Finding the Third Proportional to 59,865 and 89,278

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Solution

The third proportional to 59,865 and 89,278 is: 133,142.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,865 : 89,278 = 89,278 : x
  2. Step 2: Convert to fraction form
    59,865/89,278 = 89,278/x
  3. Step 3: Cross multiply
    59,865x = 89,278 × 89,278
  4. Step 4: Simplify right side
    59,865x = 7,970,561,284
  5. Step 5: Solve for x
    x = 7,970,561,284/59,865
  6. Step 6: Final answer
    x = 133,142.26

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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.