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Finding the Third Proportional to 113,133.66 and 167,743.69

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Solution

The third proportional to 113,133.66 and 167,743.69 is: 248,714.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,133.66 : 167,743.69 = 167,743.69 : x
  2. Step 2: Convert to fraction form
    113,133.66/167,743.69 = 167,743.69/x
  3. Step 3: Cross multiply
    113,133.66x = 167,743.69 × 167,743.69
  4. Step 4: Simplify right side
    113,133.66x = 28,137,944,696.10
  5. Step 5: Solve for x
    x = 28,137,944,696.10/113,133.66
  6. Step 6: Final answer
    x = 248,714.18

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.