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Finding the Third Proportional to 52,869 and 77,843

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Solution

The third proportional to 52,869 and 77,843 is: 114,614.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,869 : 77,843 = 77,843 : x
  2. Step 2: Convert to fraction form
    52,869/77,843 = 77,843/x
  3. Step 3: Cross multiply
    52,869x = 77,843 × 77,843
  4. Step 4: Simplify right side
    52,869x = 6,059,532,649
  5. Step 5: Solve for x
    x = 6,059,532,649/52,869
  6. Step 6: Final answer
    x = 114,614.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.