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Finding the Third Proportional to 59,568 and 87,529.50

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Solution

The third proportional to 59,568 and 87,529.50 is: 128,616.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,568 : 87,529.50 = 87,529.50 : x
  2. Step 2: Convert to fraction form
    59,568/87,529.50 = 87,529.50/x
  3. Step 3: Cross multiply
    59,568x = 87,529.50 × 87,529.50
  4. Step 4: Simplify right side
    59,568x = 7,661,413,370.25
  5. Step 5: Solve for x
    x = 7,661,413,370.25/59,568
  6. Step 6: Final answer
    x = 128,616.26

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.