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Finding the Third Proportional to 95,424 and 202,368

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Solution

The third proportional to 95,424 and 202,368 is: 429,166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,424 : 202,368 = 202,368 : x
  2. Step 2: Convert to fraction form
    95,424/202,368 = 202,368/x
  3. Step 3: Cross multiply
    95,424x = 202,368 × 202,368
  4. Step 4: Simplify right side
    95,424x = 40,952,807,424
  5. Step 5: Solve for x
    x = 40,952,807,424/95,424
  6. Step 6: Final answer
    x = 429,166.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.