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Finding the Third Proportional to 70,409.25 and 108,074.25

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Solution

The third proportional to 70,409.25 and 108,074.25 is: 165,887.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,409.25 : 108,074.25 = 108,074.25 : x
  2. Step 2: Convert to fraction form
    70,409.25/108,074.25 = 108,074.25/x
  3. Step 3: Cross multiply
    70,409.25x = 108,074.25 × 108,074.25
  4. Step 4: Simplify right side
    70,409.25x = 11,680,043,513.06
  5. Step 5: Solve for x
    x = 11,680,043,513.06/70,409.25
  6. Step 6: Final answer
    x = 165,887.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.