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Finding the Third Proportional to 72,826 and 158,828

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Solution

The third proportional to 72,826 and 158,828 is: 346,391.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,826 : 158,828 = 158,828 : x
  2. Step 2: Convert to fraction form
    72,826/158,828 = 158,828/x
  3. Step 3: Cross multiply
    72,826x = 158,828 × 158,828
  4. Step 4: Simplify right side
    72,826x = 25,226,333,584
  5. Step 5: Solve for x
    x = 25,226,333,584/72,826
  6. Step 6: Final answer
    x = 346,391.86

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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.