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Finding the Third Proportional to 73,066 and 159,659

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Solution

The third proportional to 73,066 and 159,659 is: 348,876.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,066 : 159,659 = 159,659 : x
  2. Step 2: Convert to fraction form
    73,066/159,659 = 159,659/x
  3. Step 3: Cross multiply
    73,066x = 159,659 × 159,659
  4. Step 4: Simplify right side
    73,066x = 25,490,996,281
  5. Step 5: Solve for x
    x = 25,490,996,281/73,066
  6. Step 6: Final answer
    x = 348,876.31

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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.