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Finding the Third Proportional to 70,884 and 108,810

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Solution

The third proportional to 70,884 and 108,810 is: 167,028.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,884 : 108,810 = 108,810 : x
  2. Step 2: Convert to fraction form
    70,884/108,810 = 108,810/x
  3. Step 3: Cross multiply
    70,884x = 108,810 × 108,810
  4. Step 4: Simplify right side
    70,884x = 11,839,616,100
  5. Step 5: Solve for x
    x = 11,839,616,100/70,884
  6. Step 6: Final answer
    x = 167,028.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.