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Finding the Third Proportional to 50,076 and 109,790

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Solution

The third proportional to 50,076 and 109,790 is: 240,711.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,076 : 109,790 = 109,790 : x
  2. Step 2: Convert to fraction form
    50,076/109,790 = 109,790/x
  3. Step 3: Cross multiply
    50,076x = 109,790 × 109,790
  4. Step 4: Simplify right side
    50,076x = 12,053,844,100
  5. Step 5: Solve for x
    x = 12,053,844,100/50,076
  6. Step 6: Final answer
    x = 240,711.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.