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Finding the Third Proportional to 42,842.25 and 86,722.31

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Solution

The third proportional to 42,842.25 and 86,722.31 is: 175,545.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,842.25 : 86,722.31 = 86,722.31 : x
  2. Step 2: Convert to fraction form
    42,842.25/86,722.31 = 86,722.31/x
  3. Step 3: Cross multiply
    42,842.25x = 86,722.31 × 86,722.31
  4. Step 4: Simplify right side
    42,842.25x = 7,520,759,485.35
  5. Step 5: Solve for x
    x = 7,520,759,485.35/42,842.25
  6. Step 6: Final answer
    x = 175,545.39

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These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.