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Finding the Third Proportional to 69,202.75 and 108,417

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Solution

The third proportional to 69,202.75 and 108,417 is: 169,852.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,202.75 : 108,417 = 108,417 : x
  2. Step 2: Convert to fraction form
    69,202.75/108,417 = 108,417/x
  3. Step 3: Cross multiply
    69,202.75x = 108,417 × 108,417
  4. Step 4: Simplify right side
    69,202.75x = 11,754,245,889
  5. Step 5: Solve for x
    x = 11,754,245,889/69,202.75
  6. Step 6: Final answer
    x = 169,852.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.