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Finding the Third Proportional to 61,890 and 95,994

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Solution

The third proportional to 61,890 and 95,994 is: 148,890.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,890 : 95,994 = 95,994 : x
  2. Step 2: Convert to fraction form
    61,890/95,994 = 95,994/x
  3. Step 3: Cross multiply
    61,890x = 95,994 × 95,994
  4. Step 4: Simplify right side
    61,890x = 9,214,848,036
  5. Step 5: Solve for x
    x = 9,214,848,036/61,890
  6. Step 6: Final answer
    x = 148,890.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.