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Finding the Third Proportional to 66,494.25 and 99,511.88

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Solution

The third proportional to 66,494.25 and 99,511.88 is: 148,924.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,494.25 : 99,511.88 = 99,511.88 : x
  2. Step 2: Convert to fraction form
    66,494.25/99,511.88 = 99,511.88/x
  3. Step 3: Cross multiply
    66,494.25x = 99,511.88 × 99,511.88
  4. Step 4: Simplify right side
    66,494.25x = 9,902,613,266.02
  5. Step 5: Solve for x
    x = 9,902,613,266.02/66,494.25
  6. Step 6: Final answer
    x = 148,924.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.