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Finding the Third Proportional to 84,620 and 124,311

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Solution

The third proportional to 84,620 and 124,311 is: 182,619.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,620 : 124,311 = 124,311 : x
  2. Step 2: Convert to fraction form
    84,620/124,311 = 124,311/x
  3. Step 3: Cross multiply
    84,620x = 124,311 × 124,311
  4. Step 4: Simplify right side
    84,620x = 15,453,224,721
  5. Step 5: Solve for x
    x = 15,453,224,721/84,620
  6. Step 6: Final answer
    x = 182,619.06

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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.