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Finding the Third Proportional to 112,824 and 163,896

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Solution

The third proportional to 112,824 and 163,896 is: 238,086.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,824 : 163,896 = 163,896 : x
  2. Step 2: Convert to fraction form
    112,824/163,896 = 163,896/x
  3. Step 3: Cross multiply
    112,824x = 163,896 × 163,896
  4. Step 4: Simplify right side
    112,824x = 26,861,898,816
  5. Step 5: Solve for x
    x = 26,861,898,816/112,824
  6. Step 6: Final answer
    x = 238,086.74

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.