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Finding the Third Proportional to 84,824 and 124,644

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Solution

The third proportional to 84,824 and 124,644 is: 183,157.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,824 : 124,644 = 124,644 : x
  2. Step 2: Convert to fraction form
    84,824/124,644 = 124,644/x
  3. Step 3: Cross multiply
    84,824x = 124,644 × 124,644
  4. Step 4: Simplify right side
    84,824x = 15,536,126,736
  5. Step 5: Solve for x
    x = 15,536,126,736/84,824
  6. Step 6: Final answer
    x = 183,157.20

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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.