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Finding the Third Proportional to 92,934 and 147,705.75

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Solution

The third proportional to 92,934 and 147,705.75 is: 234,757.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,934 : 147,705.75 = 147,705.75 : x
  2. Step 2: Convert to fraction form
    92,934/147,705.75 = 147,705.75/x
  3. Step 3: Cross multiply
    92,934x = 147,705.75 × 147,705.75
  4. Step 4: Simplify right side
    92,934x = 21,816,988,583.06
  5. Step 5: Solve for x
    x = 21,816,988,583.06/92,934
  6. Step 6: Final answer
    x = 234,757.88

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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.