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Finding the Third Proportional to 59,204 and 87,904

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Solution

The third proportional to 59,204 and 87,904 is: 130,516.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,204 : 87,904 = 87,904 : x
  2. Step 2: Convert to fraction form
    59,204/87,904 = 87,904/x
  3. Step 3: Cross multiply
    59,204x = 87,904 × 87,904
  4. Step 4: Simplify right side
    59,204x = 7,727,113,216
  5. Step 5: Solve for x
    x = 7,727,113,216/59,204
  6. Step 6: Final answer
    x = 130,516.74

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.