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Finding the Third Proportional to 73,784 and 113,361

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Solution

The third proportional to 73,784 and 113,361 is: 174,166.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,784 : 113,361 = 113,361 : x
  2. Step 2: Convert to fraction form
    73,784/113,361 = 113,361/x
  3. Step 3: Cross multiply
    73,784x = 113,361 × 113,361
  4. Step 4: Simplify right side
    73,784x = 12,850,716,321
  5. Step 5: Solve for x
    x = 12,850,716,321/73,784
  6. Step 6: Final answer
    x = 174,166.71

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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.