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Finding the Third Proportional to 69,203.25 and 101,342.25

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Solution

The third proportional to 69,203.25 and 101,342.25 is: 148,407.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,203.25 : 101,342.25 = 101,342.25 : x
  2. Step 2: Convert to fraction form
    69,203.25/101,342.25 = 101,342.25/x
  3. Step 3: Cross multiply
    69,203.25x = 101,342.25 × 101,342.25
  4. Step 4: Simplify right side
    69,203.25x = 10,270,251,635.06
  5. Step 5: Solve for x
    x = 10,270,251,635.06/69,203.25
  6. Step 6: Final answer
    x = 148,407.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.