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Finding the Third Proportional to 70,111 and 108,767

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Solution

The third proportional to 70,111 and 108,767 is: 168,736.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,111 : 108,767 = 108,767 : x
  2. Step 2: Convert to fraction form
    70,111/108,767 = 108,767/x
  3. Step 3: Cross multiply
    70,111x = 108,767 × 108,767
  4. Step 4: Simplify right side
    70,111x = 11,830,260,289
  5. Step 5: Solve for x
    x = 11,830,260,289/70,111
  6. Step 6: Final answer
    x = 168,736.15

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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.