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Finding the Third Proportional to 73,598.25 and 116,729.25

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Solution

The third proportional to 73,598.25 and 116,729.25 is: 185,136.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,598.25 : 116,729.25 = 116,729.25 : x
  2. Step 2: Convert to fraction form
    73,598.25/116,729.25 = 116,729.25/x
  3. Step 3: Cross multiply
    73,598.25x = 116,729.25 × 116,729.25
  4. Step 4: Simplify right side
    73,598.25x = 13,625,717,805.56
  5. Step 5: Solve for x
    x = 13,625,717,805.56/73,598.25
  6. Step 6: Final answer
    x = 185,136.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.