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Finding the Third Proportional to 120,280 and 170,968

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Solution

The third proportional to 120,280 and 170,968 is: 243,016.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,280 : 170,968 = 170,968 : x
  2. Step 2: Convert to fraction form
    120,280/170,968 = 170,968/x
  3. Step 3: Cross multiply
    120,280x = 170,968 × 170,968
  4. Step 4: Simplify right side
    120,280x = 29,230,057,024
  5. Step 5: Solve for x
    x = 29,230,057,024/120,280
  6. Step 6: Final answer
    x = 243,016.77

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.