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Finding the Third Proportional to 59,638.50 and 89,457.75

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Solution

The third proportional to 59,638.50 and 89,457.75 is: 134,186.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,638.50 : 89,457.75 = 89,457.75 : x
  2. Step 2: Convert to fraction form
    59,638.50/89,457.75 = 89,457.75/x
  3. Step 3: Cross multiply
    59,638.50x = 89,457.75 × 89,457.75
  4. Step 4: Simplify right side
    59,638.50x = 8,002,689,035.06
  5. Step 5: Solve for x
    x = 8,002,689,035.06/59,638.50
  6. Step 6: Final answer
    x = 134,186.63

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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.