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Finding the Third Proportional to 73,936 and 113,646

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Solution

The third proportional to 73,936 and 113,646 is: 174,683.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,936 : 113,646 = 113,646 : x
  2. Step 2: Convert to fraction form
    73,936/113,646 = 113,646/x
  3. Step 3: Cross multiply
    73,936x = 113,646 × 113,646
  4. Step 4: Simplify right side
    73,936x = 12,915,413,316
  5. Step 5: Solve for x
    x = 12,915,413,316/73,936
  6. Step 6: Final answer
    x = 174,683.69

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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.