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Finding the Third Proportional to 74,952 and 159,613.88

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Solution

The third proportional to 74,952 and 159,613.88 is: 339,905.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,952 : 159,613.88 = 159,613.88 : x
  2. Step 2: Convert to fraction form
    74,952/159,613.88 = 159,613.88/x
  3. Step 3: Cross multiply
    74,952x = 159,613.88 × 159,613.88
  4. Step 4: Simplify right side
    74,952x = 25,476,589,092.52
  5. Step 5: Solve for x
    x = 25,476,589,092.52/74,952
  6. Step 6: Final answer
    x = 339,905.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.