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Finding the Third Proportional to 61,012 and 111,899

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Solution

The third proportional to 61,012 and 111,899 is: 205,228.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,012 : 111,899 = 111,899 : x
  2. Step 2: Convert to fraction form
    61,012/111,899 = 111,899/x
  3. Step 3: Cross multiply
    61,012x = 111,899 × 111,899
  4. Step 4: Simplify right side
    61,012x = 12,521,386,201
  5. Step 5: Solve for x
    x = 12,521,386,201/61,012
  6. Step 6: Final answer
    x = 205,228.25

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These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.