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Finding the Third Proportional to 107,237 and 157,734

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Solution

The third proportional to 107,237 and 157,734 is: 232,009.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,237 : 157,734 = 157,734 : x
  2. Step 2: Convert to fraction form
    107,237/157,734 = 157,734/x
  3. Step 3: Cross multiply
    107,237x = 157,734 × 157,734
  4. Step 4: Simplify right side
    107,237x = 24,880,014,756
  5. Step 5: Solve for x
    x = 24,880,014,756/107,237
  6. Step 6: Final answer
    x = 232,009.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.