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Finding the Third Proportional to 135,280 and 195,968

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Solution

The third proportional to 135,280 and 195,968 is: 283,881.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,280 : 195,968 = 195,968 : x
  2. Step 2: Convert to fraction form
    135,280/195,968 = 195,968/x
  3. Step 3: Cross multiply
    135,280x = 195,968 × 195,968
  4. Step 4: Simplify right side
    135,280x = 38,403,457,024
  5. Step 5: Solve for x
    x = 38,403,457,024/135,280
  6. Step 6: Final answer
    x = 283,881.26

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.