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Finding the Third Proportional to 107,237 and 232,126

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Solution

The third proportional to 107,237 and 232,126 is: 502,461.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,237 : 232,126 = 232,126 : x
  2. Step 2: Convert to fraction form
    107,237/232,126 = 232,126/x
  3. Step 3: Cross multiply
    107,237x = 232,126 × 232,126
  4. Step 4: Simplify right side
    107,237x = 53,882,479,876
  5. Step 5: Solve for x
    x = 53,882,479,876/107,237
  6. Step 6: Final answer
    x = 502,461.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.