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Finding the Third Proportional to 52,954 and 78,199

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Solution

The third proportional to 52,954 and 78,199 is: 115,479.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,954 : 78,199 = 78,199 : x
  2. Step 2: Convert to fraction form
    52,954/78,199 = 78,199/x
  3. Step 3: Cross multiply
    52,954x = 78,199 × 78,199
  4. Step 4: Simplify right side
    52,954x = 6,115,083,601
  5. Step 5: Solve for x
    x = 6,115,083,601/52,954
  6. Step 6: Final answer
    x = 115,479.16

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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.