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Finding the Third Proportional to 73,708 and 113,360

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Solution

The third proportional to 73,708 and 113,360 is: 174,343.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,708 : 113,360 = 113,360 : x
  2. Step 2: Convert to fraction form
    73,708/113,360 = 113,360/x
  3. Step 3: Cross multiply
    73,708x = 113,360 × 113,360
  4. Step 4: Simplify right side
    73,708x = 12,850,489,600
  5. Step 5: Solve for x
    x = 12,850,489,600/73,708
  6. Step 6: Final answer
    x = 174,343.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.