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Finding the Third Proportional to 52,094.25 and 77,797.13

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Solution

The third proportional to 52,094.25 and 77,797.13 is: 116,181.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,094.25 : 77,797.13 = 77,797.13 : x
  2. Step 2: Convert to fraction form
    52,094.25/77,797.13 = 77,797.13/x
  3. Step 3: Cross multiply
    52,094.25x = 77,797.13 × 77,797.13
  4. Step 4: Simplify right side
    52,094.25x = 6,052,392,658.27
  5. Step 5: Solve for x
    x = 6,052,392,658.27/52,094.25
  6. Step 6: Final answer
    x = 116,181.59

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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.