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Finding the Third Proportional to 73,046 and 151,708

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Solution

The third proportional to 73,046 and 151,708 is: 315,079.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,046 : 151,708 = 151,708 : x
  2. Step 2: Convert to fraction form
    73,046/151,708 = 151,708/x
  3. Step 3: Cross multiply
    73,046x = 151,708 × 151,708
  4. Step 4: Simplify right side
    73,046x = 23,015,317,264
  5. Step 5: Solve for x
    x = 23,015,317,264/73,046
  6. Step 6: Final answer
    x = 315,079.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.