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Finding the Third Proportional to 95,368 and 207,123

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Solution

The third proportional to 95,368 and 207,123 is: 449,835.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,368 : 207,123 = 207,123 : x
  2. Step 2: Convert to fraction form
    95,368/207,123 = 207,123/x
  3. Step 3: Cross multiply
    95,368x = 207,123 × 207,123
  4. Step 4: Simplify right side
    95,368x = 42,899,937,129
  5. Step 5: Solve for x
    x = 42,899,937,129/95,368
  6. Step 6: Final answer
    x = 449,835.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.