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Finding the Third Proportional to 84,642 and 124,344

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Solution

The third proportional to 84,642 and 124,344 is: 182,668.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,642 : 124,344 = 124,344 : x
  2. Step 2: Convert to fraction form
    84,642/124,344 = 124,344/x
  3. Step 3: Cross multiply
    84,642x = 124,344 × 124,344
  4. Step 4: Simplify right side
    84,642x = 15,461,430,336
  5. Step 5: Solve for x
    x = 15,461,430,336/84,642
  6. Step 6: Final answer
    x = 182,668.54

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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.