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Finding the Third Proportional to 59,425 and 90,233

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Solution

The third proportional to 59,425 and 90,233 is: 137,012.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,425 : 90,233 = 90,233 : x
  2. Step 2: Convert to fraction form
    59,425/90,233 = 90,233/x
  3. Step 3: Cross multiply
    59,425x = 90,233 × 90,233
  4. Step 4: Simplify right side
    59,425x = 8,141,994,289
  5. Step 5: Solve for x
    x = 8,141,994,289/59,425
  6. Step 6: Final answer
    x = 137,012.95

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.