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Finding the Third Proportional to 59,955 and 90,087

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Solution

The third proportional to 59,955 and 90,087 is: 135,362.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,955 : 90,087 = 90,087 : x
  2. Step 2: Convert to fraction form
    59,955/90,087 = 90,087/x
  3. Step 3: Cross multiply
    59,955x = 90,087 × 90,087
  4. Step 4: Simplify right side
    59,955x = 8,115,667,569
  5. Step 5: Solve for x
    x = 8,115,667,569/59,955
  6. Step 6: Final answer
    x = 135,362.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.