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Finding the Third Proportional to 59,796 and 89,590

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Solution

The third proportional to 59,796 and 89,590 is: 134,229.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,796 : 89,590 = 89,590 : x
  2. Step 2: Convert to fraction form
    59,796/89,590 = 89,590/x
  3. Step 3: Cross multiply
    59,796x = 89,590 × 89,590
  4. Step 4: Simplify right side
    59,796x = 8,026,368,100
  5. Step 5: Solve for x
    x = 8,026,368,100/59,796
  6. Step 6: Final answer
    x = 134,229.18

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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.