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Finding the Third Proportional to 122,383.13 and 187,196.63

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Solution

The third proportional to 122,383.13 and 187,196.63 is: 286,335.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,383.13 : 187,196.63 = 187,196.63 : x
  2. Step 2: Convert to fraction form
    122,383.13/187,196.63 = 187,196.63/x
  3. Step 3: Cross multiply
    122,383.13x = 187,196.63 × 187,196.63
  4. Step 4: Simplify right side
    122,383.13x = 35,042,576,411.39
  5. Step 5: Solve for x
    x = 35,042,576,411.39/122,383.13
  6. Step 6: Final answer
    x = 286,335.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.