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Finding the Third Proportional to 106,158 and 250,248

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Solution

The third proportional to 106,158 and 250,248 is: 589,913.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,158 : 250,248 = 250,248 : x
  2. Step 2: Convert to fraction form
    106,158/250,248 = 250,248/x
  3. Step 3: Cross multiply
    106,158x = 250,248 × 250,248
  4. Step 4: Simplify right side
    106,158x = 62,624,061,504
  5. Step 5: Solve for x
    x = 62,624,061,504/106,158
  6. Step 6: Final answer
    x = 589,913.73

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.