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Finding the Third Proportional to 52,092.50 and 77,795

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Solution

The third proportional to 52,092.50 and 77,795 is: 116,179.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,092.50 : 77,795 = 77,795 : x
  2. Step 2: Convert to fraction form
    52,092.50/77,795 = 77,795/x
  3. Step 3: Cross multiply
    52,092.50x = 77,795 × 77,795
  4. Step 4: Simplify right side
    52,092.50x = 6,052,062,025
  5. Step 5: Solve for x
    x = 6,052,062,025/52,092.50
  6. Step 6: Final answer
    x = 116,179.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.