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Finding the Third Proportional to 42,720 and 67,011

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Solution

The third proportional to 42,720 and 67,011 is: 105,114.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,720 : 67,011 = 67,011 : x
  2. Step 2: Convert to fraction form
    42,720/67,011 = 67,011/x
  3. Step 3: Cross multiply
    42,720x = 67,011 × 67,011
  4. Step 4: Simplify right side
    42,720x = 4,490,474,121
  5. Step 5: Solve for x
    x = 4,490,474,121/42,720
  6. Step 6: Final answer
    x = 105,114.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.