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Finding the Third Proportional to 52,270 and 77,173

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Solution

The third proportional to 52,270 and 77,173 is: 113,940.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,270 : 77,173 = 77,173 : x
  2. Step 2: Convert to fraction form
    52,270/77,173 = 77,173/x
  3. Step 3: Cross multiply
    52,270x = 77,173 × 77,173
  4. Step 4: Simplify right side
    52,270x = 5,955,671,929
  5. Step 5: Solve for x
    x = 5,955,671,929/52,270
  6. Step 6: Final answer
    x = 113,940.54

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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.