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Finding the Third Proportional to 105,650 and 157,923

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Solution

The third proportional to 105,650 and 157,923 is: 236,059.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,650 : 157,923 = 157,923 : x
  2. Step 2: Convert to fraction form
    105,650/157,923 = 157,923/x
  3. Step 3: Cross multiply
    105,650x = 157,923 × 157,923
  4. Step 4: Simplify right side
    105,650x = 24,939,673,929
  5. Step 5: Solve for x
    x = 24,939,673,929/105,650
  6. Step 6: Final answer
    x = 236,059.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.