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Finding the Third Proportional to 105,907 and 157,036

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Solution

The third proportional to 105,907 and 157,036 is: 232,848.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,907 : 157,036 = 157,036 : x
  2. Step 2: Convert to fraction form
    105,907/157,036 = 157,036/x
  3. Step 3: Cross multiply
    105,907x = 157,036 × 157,036
  4. Step 4: Simplify right side
    105,907x = 24,660,305,296
  5. Step 5: Solve for x
    x = 24,660,305,296/105,907
  6. Step 6: Final answer
    x = 232,848.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.