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Finding the Third Proportional to 59,865 and 89,278.50

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Solution

The third proportional to 59,865 and 89,278.50 is: 133,143.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,865 : 89,278.50 = 89,278.50 : x
  2. Step 2: Convert to fraction form
    59,865/89,278.50 = 89,278.50/x
  3. Step 3: Cross multiply
    59,865x = 89,278.50 × 89,278.50
  4. Step 4: Simplify right side
    59,865x = 7,970,650,562.25
  5. Step 5: Solve for x
    x = 7,970,650,562.25/59,865
  6. Step 6: Final answer
    x = 133,143.75

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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.