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Finding the Third Proportional to 58,962 and 120,996

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Solution

The third proportional to 58,962 and 120,996 is: 248,296.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,962 : 120,996 = 120,996 : x
  2. Step 2: Convert to fraction form
    58,962/120,996 = 120,996/x
  3. Step 3: Cross multiply
    58,962x = 120,996 × 120,996
  4. Step 4: Simplify right side
    58,962x = 14,640,032,016
  5. Step 5: Solve for x
    x = 14,640,032,016/58,962
  6. Step 6: Final answer
    x = 248,296.06

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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.