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Finding the Third Proportional to 68,280 and 142,010

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Solution

The third proportional to 68,280 and 142,010 is: 295,355.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,280 : 142,010 = 142,010 : x
  2. Step 2: Convert to fraction form
    68,280/142,010 = 142,010/x
  3. Step 3: Cross multiply
    68,280x = 142,010 × 142,010
  4. Step 4: Simplify right side
    68,280x = 20,166,840,100
  5. Step 5: Solve for x
    x = 20,166,840,100/68,280
  6. Step 6: Final answer
    x = 295,355.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.