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Finding the Third Proportional to 73,372 and 121,396

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Solution

The third proportional to 73,372 and 121,396 is: 200,853.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,372 : 121,396 = 121,396 : x
  2. Step 2: Convert to fraction form
    73,372/121,396 = 121,396/x
  3. Step 3: Cross multiply
    73,372x = 121,396 × 121,396
  4. Step 4: Simplify right side
    73,372x = 14,736,988,816
  5. Step 5: Solve for x
    x = 14,736,988,816/73,372
  6. Step 6: Final answer
    x = 200,853.03

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.