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Finding the Third Proportional to 58,144 and 92,226

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Solution

The third proportional to 58,144 and 92,226 is: 146,285.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,144 : 92,226 = 92,226 : x
  2. Step 2: Convert to fraction form
    58,144/92,226 = 92,226/x
  3. Step 3: Cross multiply
    58,144x = 92,226 × 92,226
  4. Step 4: Simplify right side
    58,144x = 8,505,635,076
  5. Step 5: Solve for x
    x = 8,505,635,076/58,144
  6. Step 6: Final answer
    x = 146,285.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.