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Finding the Third Proportional to 77,523 and 116,286

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Solution

The third proportional to 77,523 and 116,286 is: 174,431.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,523 : 116,286 = 116,286 : x
  2. Step 2: Convert to fraction form
    77,523/116,286 = 116,286/x
  3. Step 3: Cross multiply
    77,523x = 116,286 × 116,286
  4. Step 4: Simplify right side
    77,523x = 13,522,433,796
  5. Step 5: Solve for x
    x = 13,522,433,796/77,523
  6. Step 6: Final answer
    x = 174,431.25

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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.