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Finding the Third Proportional to 68,088 and 101,720

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Solution

The third proportional to 68,088 and 101,720 is: 151,964.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,088 : 101,720 = 101,720 : x
  2. Step 2: Convert to fraction form
    68,088/101,720 = 101,720/x
  3. Step 3: Cross multiply
    68,088x = 101,720 × 101,720
  4. Step 4: Simplify right side
    68,088x = 10,346,958,400
  5. Step 5: Solve for x
    x = 10,346,958,400/68,088
  6. Step 6: Final answer
    x = 151,964.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.