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Finding the Third Proportional to 92,148 and 193,578

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Solution

The third proportional to 92,148 and 193,578 is: 406,654.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,148 : 193,578 = 193,578 : x
  2. Step 2: Convert to fraction form
    92,148/193,578 = 193,578/x
  3. Step 3: Cross multiply
    92,148x = 193,578 × 193,578
  4. Step 4: Simplify right side
    92,148x = 37,472,442,084
  5. Step 5: Solve for x
    x = 37,472,442,084/92,148
  6. Step 6: Final answer
    x = 406,654.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.