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Finding the Third Proportional to 59,163 and 129,243

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Solution

The third proportional to 59,163 and 129,243 is: 282,334.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,163 : 129,243 = 129,243 : x
  2. Step 2: Convert to fraction form
    59,163/129,243 = 129,243/x
  3. Step 3: Cross multiply
    59,163x = 129,243 × 129,243
  4. Step 4: Simplify right side
    59,163x = 16,703,753,049
  5. Step 5: Solve for x
    x = 16,703,753,049/59,163
  6. Step 6: Final answer
    x = 282,334.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.