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Finding the Third Proportional to 69,050.25 and 106,628

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Solution

The third proportional to 69,050.25 and 106,628 is: 164,655.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,050.25 : 106,628 = 106,628 : x
  2. Step 2: Convert to fraction form
    69,050.25/106,628 = 106,628/x
  3. Step 3: Cross multiply
    69,050.25x = 106,628 × 106,628
  4. Step 4: Simplify right side
    69,050.25x = 11,369,530,384
  5. Step 5: Solve for x
    x = 11,369,530,384/69,050.25
  6. Step 6: Final answer
    x = 164,655.89

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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.