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Finding the Third Proportional to 50,089 and 116,473

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Solution

The third proportional to 50,089 and 116,473 is: 270,837.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,089 : 116,473 = 116,473 : x
  2. Step 2: Convert to fraction form
    50,089/116,473 = 116,473/x
  3. Step 3: Cross multiply
    50,089x = 116,473 × 116,473
  4. Step 4: Simplify right side
    50,089x = 13,565,959,729
  5. Step 5: Solve for x
    x = 13,565,959,729/50,089
  6. Step 6: Final answer
    x = 270,837.10

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.