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Finding the Third Proportional to 69,419.25 and 101,536.88

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Solution

The third proportional to 69,419.25 and 101,536.88 is: 148,514.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,419.25 : 101,536.88 = 101,536.88 : x
  2. Step 2: Convert to fraction form
    69,419.25/101,536.88 = 101,536.88/x
  3. Step 3: Cross multiply
    69,419.25x = 101,536.88 × 101,536.88
  4. Step 4: Simplify right side
    69,419.25x = 10,309,736,984.77
  5. Step 5: Solve for x
    x = 10,309,736,984.77/69,419.25
  6. Step 6: Final answer
    x = 148,514.09

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