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Finding the Third Proportional to 59,898 and 87,684

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Solution

The third proportional to 59,898 and 87,684 is: 128,359.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,898 : 87,684 = 87,684 : x
  2. Step 2: Convert to fraction form
    59,898/87,684 = 87,684/x
  3. Step 3: Cross multiply
    59,898x = 87,684 × 87,684
  4. Step 4: Simplify right side
    59,898x = 7,688,483,856
  5. Step 5: Solve for x
    x = 7,688,483,856/59,898
  6. Step 6: Final answer
    x = 128,359.61

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.