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Finding the Third Proportional to 52,037 and 77,846

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Solution

The third proportional to 52,037 and 77,846 is: 116,455.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,037 : 77,846 = 77,846 : x
  2. Step 2: Convert to fraction form
    52,037/77,846 = 77,846/x
  3. Step 3: Cross multiply
    52,037x = 77,846 × 77,846
  4. Step 4: Simplify right side
    52,037x = 6,059,999,716
  5. Step 5: Solve for x
    x = 6,059,999,716/52,037
  6. Step 6: Final answer
    x = 116,455.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.