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Finding the Third Proportional to 67,280 and 104,024

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Solution

The third proportional to 67,280 and 104,024 is: 160,835.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,280 : 104,024 = 104,024 : x
  2. Step 2: Convert to fraction form
    67,280/104,024 = 104,024/x
  3. Step 3: Cross multiply
    67,280x = 104,024 × 104,024
  4. Step 4: Simplify right side
    67,280x = 10,820,992,576
  5. Step 5: Solve for x
    x = 10,820,992,576/67,280
  6. Step 6: Final answer
    x = 160,835.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.