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Finding the Third Proportional to 112,387.50 and 235,164.38

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Solution

The third proportional to 112,387.50 and 235,164.38 is: 492,067.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,387.50 : 235,164.38 = 235,164.38 : x
  2. Step 2: Convert to fraction form
    112,387.50/235,164.38 = 235,164.38/x
  3. Step 3: Cross multiply
    112,387.50x = 235,164.38 × 235,164.38
  4. Step 4: Simplify right side
    112,387.50x = 55,302,283,269.14
  5. Step 5: Solve for x
    x = 55,302,283,269.14/112,387.50
  6. Step 6: Final answer
    x = 492,067.92

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.