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Finding the Third Proportional to 70,206.75 and 108,418.50

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Solution

The third proportional to 70,206.75 and 108,418.50 is: 167,427.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,206.75 : 108,418.50 = 108,418.50 : x
  2. Step 2: Convert to fraction form
    70,206.75/108,418.50 = 108,418.50/x
  3. Step 3: Cross multiply
    70,206.75x = 108,418.50 × 108,418.50
  4. Step 4: Simplify right side
    70,206.75x = 11,754,571,142.25
  5. Step 5: Solve for x
    x = 11,754,571,142.25/70,206.75
  6. Step 6: Final answer
    x = 167,427.93

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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.