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Finding the Third Proportional to 52,837 and 78,382

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Solution

The third proportional to 52,837 and 78,382 is: 116,277.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,837 : 78,382 = 78,382 : x
  2. Step 2: Convert to fraction form
    52,837/78,382 = 78,382/x
  3. Step 3: Cross multiply
    52,837x = 78,382 × 78,382
  4. Step 4: Simplify right side
    52,837x = 6,143,737,924
  5. Step 5: Solve for x
    x = 6,143,737,924/52,837
  6. Step 6: Final answer
    x = 116,277.19

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.