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Finding the Third Proportional to 112,987.69 and 174,952.69

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Solution

The third proportional to 112,987.69 and 174,952.69 is: 270,900.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,987.69 : 174,952.69 = 174,952.69 : x
  2. Step 2: Convert to fraction form
    112,987.69/174,952.69 = 174,952.69/x
  3. Step 3: Cross multiply
    112,987.69x = 174,952.69 × 174,952.69
  4. Step 4: Simplify right side
    112,987.69x = 30,608,442,863.47
  5. Step 5: Solve for x
    x = 30,608,442,863.47/112,987.69
  6. Step 6: Final answer
    x = 270,900.69

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.