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Finding the Third Proportional to 105,066 and 157,228

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Solution

The third proportional to 105,066 and 157,228 is: 235,286.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,066 : 157,228 = 157,228 : x
  2. Step 2: Convert to fraction form
    105,066/157,228 = 157,228/x
  3. Step 3: Cross multiply
    105,066x = 157,228 × 157,228
  4. Step 4: Simplify right side
    105,066x = 24,720,643,984
  5. Step 5: Solve for x
    x = 24,720,643,984/105,066
  6. Step 6: Final answer
    x = 235,286.81

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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.