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Finding the Third Proportional to 89,816 and 149,684

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Solution

The third proportional to 89,816 and 149,684 is: 249,457.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,816 : 149,684 = 149,684 : x
  2. Step 2: Convert to fraction form
    89,816/149,684 = 149,684/x
  3. Step 3: Cross multiply
    89,816x = 149,684 × 149,684
  4. Step 4: Simplify right side
    89,816x = 22,405,299,856
  5. Step 5: Solve for x
    x = 22,405,299,856/89,816
  6. Step 6: Final answer
    x = 249,457.78

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.