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Finding the Third Proportional to 58,324 and 122,192

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Solution

The third proportional to 58,324 and 122,192 is: 255,998.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,324 : 122,192 = 122,192 : x
  2. Step 2: Convert to fraction form
    58,324/122,192 = 122,192/x
  3. Step 3: Cross multiply
    58,324x = 122,192 × 122,192
  4. Step 4: Simplify right side
    58,324x = 14,930,884,864
  5. Step 5: Solve for x
    x = 14,930,884,864/58,324
  6. Step 6: Final answer
    x = 255,998.99

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.