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Finding the Third Proportional to 105,901 and 157,027

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Solution

The third proportional to 105,901 and 157,027 is: 232,835.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,901 : 157,027 = 157,027 : x
  2. Step 2: Convert to fraction form
    105,901/157,027 = 157,027/x
  3. Step 3: Cross multiply
    105,901x = 157,027 × 157,027
  4. Step 4: Simplify right side
    105,901x = 24,657,478,729
  5. Step 5: Solve for x
    x = 24,657,478,729/105,901
  6. Step 6: Final answer
    x = 232,835.18

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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.