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Finding the Third Proportional to 58,683 and 120,099

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Solution

The third proportional to 58,683 and 120,099 is: 245,791.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,683 : 120,099 = 120,099 : x
  2. Step 2: Convert to fraction form
    58,683/120,099 = 120,099/x
  3. Step 3: Cross multiply
    58,683x = 120,099 × 120,099
  4. Step 4: Simplify right side
    58,683x = 14,423,769,801
  5. Step 5: Solve for x
    x = 14,423,769,801/58,683
  6. Step 6: Final answer
    x = 245,791.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.