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Finding the Third Proportional to 51,967.13 and 83,693.25

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Solution

The third proportional to 51,967.13 and 83,693.25 is: 134,788.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,967.13 : 83,693.25 = 83,693.25 : x
  2. Step 2: Convert to fraction form
    51,967.13/83,693.25 = 83,693.25/x
  3. Step 3: Cross multiply
    51,967.13x = 83,693.25 × 83,693.25
  4. Step 4: Simplify right side
    51,967.13x = 7,004,560,095.56
  5. Step 5: Solve for x
    x = 7,004,560,095.56/51,967.13
  6. Step 6: Final answer
    x = 134,788.29

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.