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Finding the Third Proportional to 101,934.50 and 157,446.75

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Solution

The third proportional to 101,934.50 and 157,446.75 is: 243,190.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,934.50 : 157,446.75 = 157,446.75 : x
  2. Step 2: Convert to fraction form
    101,934.50/157,446.75 = 157,446.75/x
  3. Step 3: Cross multiply
    101,934.50x = 157,446.75 × 157,446.75
  4. Step 4: Simplify right side
    101,934.50x = 24,789,479,085.56
  5. Step 5: Solve for x
    x = 24,789,479,085.56/101,934.50
  6. Step 6: Final answer
    x = 243,190.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.