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Finding the Third Proportional to 106,294 and 157,388

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Solution

The third proportional to 106,294 and 157,388 is: 233,042.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,294 : 157,388 = 157,388 : x
  2. Step 2: Convert to fraction form
    106,294/157,388 = 157,388/x
  3. Step 3: Cross multiply
    106,294x = 157,388 × 157,388
  4. Step 4: Simplify right side
    106,294x = 24,770,982,544
  5. Step 5: Solve for x
    x = 24,770,982,544/106,294
  6. Step 6: Final answer
    x = 233,042.15

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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.