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Finding the Third Proportional to 113,824 and 163,957

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Solution

The third proportional to 113,824 and 163,957 is: 236,170.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,824 : 163,957 = 163,957 : x
  2. Step 2: Convert to fraction form
    113,824/163,957 = 163,957/x
  3. Step 3: Cross multiply
    113,824x = 163,957 × 163,957
  4. Step 4: Simplify right side
    113,824x = 26,881,897,849
  5. Step 5: Solve for x
    x = 26,881,897,849/113,824
  6. Step 6: Final answer
    x = 236,170.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.