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Finding the Third Proportional to 51,973.50 and 76,016.25

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Solution

The third proportional to 51,973.50 and 76,016.25 is: 111,181.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,973.50 : 76,016.25 = 76,016.25 : x
  2. Step 2: Convert to fraction form
    51,973.50/76,016.25 = 76,016.25/x
  3. Step 3: Cross multiply
    51,973.50x = 76,016.25 × 76,016.25
  4. Step 4: Simplify right side
    51,973.50x = 5,778,470,264.06
  5. Step 5: Solve for x
    x = 5,778,470,264.06/51,973.50
  6. Step 6: Final answer
    x = 111,181.09

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.