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Finding the Third Proportional to 69,202.13 and 108,416.25

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Solution

The third proportional to 69,202.13 and 108,416.25 is: 169,851.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,202.13 : 108,416.25 = 108,416.25 : x
  2. Step 2: Convert to fraction form
    69,202.13/108,416.25 = 108,416.25/x
  3. Step 3: Cross multiply
    69,202.13x = 108,416.25 × 108,416.25
  4. Step 4: Simplify right side
    69,202.13x = 11,754,083,264.06
  5. Step 5: Solve for x
    x = 11,754,083,264.06/69,202.13
  6. Step 6: Final answer
    x = 169,851.48

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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.