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Finding the Third Proportional to 112,159.69 and 164,959.03

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Solution

The third proportional to 112,159.69 and 164,959.03 is: 242,613.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,159.69 : 164,959.03 = 164,959.03 : x
  2. Step 2: Convert to fraction form
    112,159.69/164,959.03 = 164,959.03/x
  3. Step 3: Cross multiply
    112,159.69x = 164,959.03 × 164,959.03
  4. Step 4: Simplify right side
    112,159.69x = 27,211,481,990.94
  5. Step 5: Solve for x
    x = 27,211,481,990.94/112,159.69
  6. Step 6: Final answer
    x = 242,613.75

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.