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Finding the Third Proportional to 52,926.75 and 77,446.13

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Solution

The third proportional to 52,926.75 and 77,446.13 is: 113,324.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,926.75 : 77,446.13 = 77,446.13 : x
  2. Step 2: Convert to fraction form
    52,926.75/77,446.13 = 77,446.13/x
  3. Step 3: Cross multiply
    52,926.75x = 77,446.13 × 77,446.13
  4. Step 4: Simplify right side
    52,926.75x = 5,997,902,277.52
  5. Step 5: Solve for x
    x = 5,997,902,277.52/52,926.75
  6. Step 6: Final answer
    x = 113,324.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.