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Finding the Third Proportional to 59,088 and 87,766

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Solution

The third proportional to 59,088 and 87,766 is: 130,362.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,088 : 87,766 = 87,766 : x
  2. Step 2: Convert to fraction form
    59,088/87,766 = 87,766/x
  3. Step 3: Cross multiply
    59,088x = 87,766 × 87,766
  4. Step 4: Simplify right side
    59,088x = 7,702,870,756
  5. Step 5: Solve for x
    x = 7,702,870,756/59,088
  6. Step 6: Final answer
    x = 130,362.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.