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Finding the Third Proportional to 106,190 and 157,278

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Solution

The third proportional to 106,190 and 157,278 is: 232,944.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,190 : 157,278 = 157,278 : x
  2. Step 2: Convert to fraction form
    106,190/157,278 = 157,278/x
  3. Step 3: Cross multiply
    106,190x = 157,278 × 157,278
  4. Step 4: Simplify right side
    106,190x = 24,736,369,284
  5. Step 5: Solve for x
    x = 24,736,369,284/106,190
  6. Step 6: Final answer
    x = 232,944.43

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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.