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Finding the Third Proportional to 69,362 and 149,650

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Solution

The third proportional to 69,362 and 149,650 is: 322,873.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,362 : 149,650 = 149,650 : x
  2. Step 2: Convert to fraction form
    69,362/149,650 = 149,650/x
  3. Step 3: Cross multiply
    69,362x = 149,650 × 149,650
  4. Step 4: Simplify right side
    69,362x = 22,395,122,500
  5. Step 5: Solve for x
    x = 22,395,122,500/69,362
  6. Step 6: Final answer
    x = 322,873.08

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.