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Finding the Third Proportional to 59,179 and 89,383

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Solution

The third proportional to 59,179 and 89,383 is: 135,002.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,179 : 89,383 = 89,383 : x
  2. Step 2: Convert to fraction form
    59,179/89,383 = 89,383/x
  3. Step 3: Cross multiply
    59,179x = 89,383 × 89,383
  4. Step 4: Simplify right side
    59,179x = 7,989,320,689
  5. Step 5: Solve for x
    x = 7,989,320,689/59,179
  6. Step 6: Final answer
    x = 135,002.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.