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Finding the Third Proportional to 92,936 and 147,693

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Solution

The third proportional to 92,936 and 147,693 is: 234,712.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,936 : 147,693 = 147,693 : x
  2. Step 2: Convert to fraction form
    92,936/147,693 = 147,693/x
  3. Step 3: Cross multiply
    92,936x = 147,693 × 147,693
  4. Step 4: Simplify right side
    92,936x = 21,813,222,249
  5. Step 5: Solve for x
    x = 21,813,222,249/92,936
  6. Step 6: Final answer
    x = 234,712.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.