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Finding the Third Proportional to 101,824 and 153,856

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Solution

The third proportional to 101,824 and 153,856 is: 232,476.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,824 : 153,856 = 153,856 : x
  2. Step 2: Convert to fraction form
    101,824/153,856 = 153,856/x
  3. Step 3: Cross multiply
    101,824x = 153,856 × 153,856
  4. Step 4: Simplify right side
    101,824x = 23,671,668,736
  5. Step 5: Solve for x
    x = 23,671,668,736/101,824
  6. Step 6: Final answer
    x = 232,476.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.