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Finding the Third Proportional to 123,282 and 195,960

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Solution

The third proportional to 123,282 and 195,960 is: 311,483.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,282 : 195,960 = 195,960 : x
  2. Step 2: Convert to fraction form
    123,282/195,960 = 195,960/x
  3. Step 3: Cross multiply
    123,282x = 195,960 × 195,960
  4. Step 4: Simplify right side
    123,282x = 38,400,321,600
  5. Step 5: Solve for x
    x = 38,400,321,600/123,282
  6. Step 6: Final answer
    x = 311,483.60

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.