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Finding the Third Proportional to 114,013.83 and 167,587.73

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Solution

The third proportional to 114,013.83 and 167,587.73 is: 246,335.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,013.83 : 167,587.73 = 167,587.73 : x
  2. Step 2: Convert to fraction form
    114,013.83/167,587.73 = 167,587.73/x
  3. Step 3: Cross multiply
    114,013.83x = 167,587.73 × 167,587.73
  4. Step 4: Simplify right side
    114,013.83x = 28,085,648,712.95
  5. Step 5: Solve for x
    x = 28,085,648,712.95/114,013.83
  6. Step 6: Final answer
    x = 246,335.46

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Why These Related Problems?

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