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Finding the Third Proportional to 105,036 and 157,631

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Solution

The third proportional to 105,036 and 157,631 is: 236,562.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,036 : 157,631 = 157,631 : x
  2. Step 2: Convert to fraction form
    105,036/157,631 = 157,631/x
  3. Step 3: Cross multiply
    105,036x = 157,631 × 157,631
  4. Step 4: Simplify right side
    105,036x = 24,847,532,161
  5. Step 5: Solve for x
    x = 24,847,532,161/105,036
  6. Step 6: Final answer
    x = 236,562.06

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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.