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Finding the Third Proportional to 89,317 and 123,037

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Solution

The third proportional to 89,317 and 123,037 is: 169,487.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,317 : 123,037 = 123,037 : x
  2. Step 2: Convert to fraction form
    89,317/123,037 = 123,037/x
  3. Step 3: Cross multiply
    89,317x = 123,037 × 123,037
  4. Step 4: Simplify right side
    89,317x = 15,138,103,369
  5. Step 5: Solve for x
    x = 15,138,103,369/89,317
  6. Step 6: Final answer
    x = 169,487.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.