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Finding the Third Proportional to 58,176 and 92,268

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Solution

The third proportional to 58,176 and 92,268 is: 146,338.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,176 : 92,268 = 92,268 : x
  2. Step 2: Convert to fraction form
    58,176/92,268 = 92,268/x
  3. Step 3: Cross multiply
    58,176x = 92,268 × 92,268
  4. Step 4: Simplify right side
    58,176x = 8,513,383,824
  5. Step 5: Solve for x
    x = 8,513,383,824/58,176
  6. Step 6: Final answer
    x = 146,338.42

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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.