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Finding the Third Proportional to 50,703 and 113,070

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Solution

The third proportional to 50,703 and 113,070 is: 252,151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,703 : 113,070 = 113,070 : x
  2. Step 2: Convert to fraction form
    50,703/113,070 = 113,070/x
  3. Step 3: Cross multiply
    50,703x = 113,070 × 113,070
  4. Step 4: Simplify right side
    50,703x = 12,784,824,900
  5. Step 5: Solve for x
    x = 12,784,824,900/50,703
  6. Step 6: Final answer
    x = 252,151.25

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.