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Finding the Third Proportional to 59,688 and 89,682.75

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Solution

The third proportional to 59,688 and 89,682.75 is: 134,750.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,688 : 89,682.75 = 89,682.75 : x
  2. Step 2: Convert to fraction form
    59,688/89,682.75 = 89,682.75/x
  3. Step 3: Cross multiply
    59,688x = 89,682.75 × 89,682.75
  4. Step 4: Simplify right side
    59,688x = 8,042,995,647.56
  5. Step 5: Solve for x
    x = 8,042,995,647.56/59,688
  6. Step 6: Final answer
    x = 134,750.63

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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.