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Finding the Third Proportional to 105,062 and 157,701

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Solution

The third proportional to 105,062 and 157,701 is: 236,713.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,062 : 157,701 = 157,701 : x
  2. Step 2: Convert to fraction form
    105,062/157,701 = 157,701/x
  3. Step 3: Cross multiply
    105,062x = 157,701 × 157,701
  4. Step 4: Simplify right side
    105,062x = 24,869,605,401
  5. Step 5: Solve for x
    x = 24,869,605,401/105,062
  6. Step 6: Final answer
    x = 236,713.61

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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.