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Finding the Third Proportional to 105,824 and 163,960

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Solution

The third proportional to 105,824 and 163,960 is: 254,033.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,824 : 163,960 = 163,960 : x
  2. Step 2: Convert to fraction form
    105,824/163,960 = 163,960/x
  3. Step 3: Cross multiply
    105,824x = 163,960 × 163,960
  4. Step 4: Simplify right side
    105,824x = 26,882,881,600
  5. Step 5: Solve for x
    x = 26,882,881,600/105,824
  6. Step 6: Final answer
    x = 254,033.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.