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Finding the Third Proportional to 69,987.38 and 106,277.06

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Solution

The third proportional to 69,987.38 and 106,277.06 is: 161,383.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,987.38 : 106,277.06 = 106,277.06 : x
  2. Step 2: Convert to fraction form
    69,987.38/106,277.06 = 106,277.06/x
  3. Step 3: Cross multiply
    69,987.38x = 106,277.06 × 106,277.06
  4. Step 4: Simplify right side
    69,987.38x = 11,294,814,013.63
  5. Step 5: Solve for x
    x = 11,294,814,013.63/69,987.38
  6. Step 6: Final answer
    x = 161,383.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.