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Finding the Third Proportional to 59,089 and 88,678

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Solution

The third proportional to 59,089 and 88,678 is: 133,083.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,089 : 88,678 = 88,678 : x
  2. Step 2: Convert to fraction form
    59,089/88,678 = 88,678/x
  3. Step 3: Cross multiply
    59,089x = 88,678 × 88,678
  4. Step 4: Simplify right side
    59,089x = 7,863,787,684
  5. Step 5: Solve for x
    x = 7,863,787,684/59,089
  6. Step 6: Final answer
    x = 133,083.78

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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.