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Finding the Third Proportional to 59,179 and 127,379

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Solution

The third proportional to 59,179 and 127,379 is: 274,175.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,179 : 127,379 = 127,379 : x
  2. Step 2: Convert to fraction form
    59,179/127,379 = 127,379/x
  3. Step 3: Cross multiply
    59,179x = 127,379 × 127,379
  4. Step 4: Simplify right side
    59,179x = 16,225,409,641
  5. Step 5: Solve for x
    x = 16,225,409,641/59,179
  6. Step 6: Final answer
    x = 274,175.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.