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Finding the Third Proportional to 59,484 and 89,233

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Solution

The third proportional to 59,484 and 89,233 is: 133,860.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,484 : 89,233 = 89,233 : x
  2. Step 2: Convert to fraction form
    59,484/89,233 = 89,233/x
  3. Step 3: Cross multiply
    59,484x = 89,233 × 89,233
  4. Step 4: Simplify right side
    59,484x = 7,962,528,289
  5. Step 5: Solve for x
    x = 7,962,528,289/59,484
  6. Step 6: Final answer
    x = 133,860.00

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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.