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Finding the Third Proportional to 50,931 and 113,526

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Solution

The third proportional to 50,931 and 113,526 is: 253,051.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,931 : 113,526 = 113,526 : x
  2. Step 2: Convert to fraction form
    50,931/113,526 = 113,526/x
  3. Step 3: Cross multiply
    50,931x = 113,526 × 113,526
  4. Step 4: Simplify right side
    50,931x = 12,888,152,676
  5. Step 5: Solve for x
    x = 12,888,152,676/50,931
  6. Step 6: Final answer
    x = 253,051.24

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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.