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Finding the Third Proportional to 105,102 and 157,758.75

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Solution

The third proportional to 105,102 and 157,758.75 is: 236,796.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,102 : 157,758.75 = 157,758.75 : x
  2. Step 2: Convert to fraction form
    105,102/157,758.75 = 157,758.75/x
  3. Step 3: Cross multiply
    105,102x = 157,758.75 × 157,758.75
  4. Step 4: Simplify right side
    105,102x = 24,887,823,201.56
  5. Step 5: Solve for x
    x = 24,887,823,201.56/105,102
  6. Step 6: Final answer
    x = 236,796.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.