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Finding the Third Proportional to 97,368 and 202,134

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Solution

The third proportional to 97,368 and 202,134 is: 419,626.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,368 : 202,134 = 202,134 : x
  2. Step 2: Convert to fraction form
    97,368/202,134 = 202,134/x
  3. Step 3: Cross multiply
    97,368x = 202,134 × 202,134
  4. Step 4: Simplify right side
    97,368x = 40,858,153,956
  5. Step 5: Solve for x
    x = 40,858,153,956/97,368
  6. Step 6: Final answer
    x = 419,626.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.