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Finding the Third Proportional to 52,854 and 77,529

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Solution

The third proportional to 52,854 and 77,529 is: 113,723.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,854 : 77,529 = 77,529 : x
  2. Step 2: Convert to fraction form
    52,854/77,529 = 77,529/x
  3. Step 3: Cross multiply
    52,854x = 77,529 × 77,529
  4. Step 4: Simplify right side
    52,854x = 6,010,745,841
  5. Step 5: Solve for x
    x = 6,010,745,841/52,854
  6. Step 6: Final answer
    x = 113,723.58

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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.