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Finding the Third Proportional to 50,022 and 77,430

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Solution

The third proportional to 50,022 and 77,430 is: 119,855.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,022 : 77,430 = 77,430 : x
  2. Step 2: Convert to fraction form
    50,022/77,430 = 77,430/x
  3. Step 3: Cross multiply
    50,022x = 77,430 × 77,430
  4. Step 4: Simplify right side
    50,022x = 5,995,404,900
  5. Step 5: Solve for x
    x = 5,995,404,900/50,022
  6. Step 6: Final answer
    x = 119,855.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.