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Finding the Third Proportional to 106,391 and 157,483

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Solution

The third proportional to 106,391 and 157,483 is: 233,110.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,391 : 157,483 = 157,483 : x
  2. Step 2: Convert to fraction form
    106,391/157,483 = 157,483/x
  3. Step 3: Cross multiply
    106,391x = 157,483 × 157,483
  4. Step 4: Simplify right side
    106,391x = 24,800,895,289
  5. Step 5: Solve for x
    x = 24,800,895,289/106,391
  6. Step 6: Final answer
    x = 233,110.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.