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Finding the Third Proportional to 52,956 and 77,652

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Solution

The third proportional to 52,956 and 77,652 is: 113,864.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,956 : 77,652 = 77,652 : x
  2. Step 2: Convert to fraction form
    52,956/77,652 = 77,652/x
  3. Step 3: Cross multiply
    52,956x = 77,652 × 77,652
  4. Step 4: Simplify right side
    52,956x = 6,029,833,104
  5. Step 5: Solve for x
    x = 6,029,833,104/52,956
  6. Step 6: Final answer
    x = 113,864.97

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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.