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Finding the Third Proportional to 70,074 and 108,804

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Solution

The third proportional to 70,074 and 108,804 is: 168,940.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,074 : 108,804 = 108,804 : x
  2. Step 2: Convert to fraction form
    70,074/108,804 = 108,804/x
  3. Step 3: Cross multiply
    70,074x = 108,804 × 108,804
  4. Step 4: Simplify right side
    70,074x = 11,838,310,416
  5. Step 5: Solve for x
    x = 11,838,310,416/70,074
  6. Step 6: Final answer
    x = 168,940.13

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