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Finding the Third Proportional to 73,969 and 161,748

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Solution

The third proportional to 73,969 and 161,748 is: 353,694.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,969 : 161,748 = 161,748 : x
  2. Step 2: Convert to fraction form
    73,969/161,748 = 161,748/x
  3. Step 3: Cross multiply
    73,969x = 161,748 × 161,748
  4. Step 4: Simplify right side
    73,969x = 26,162,415,504
  5. Step 5: Solve for x
    x = 26,162,415,504/73,969
  6. Step 6: Final answer
    x = 353,694.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.