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Finding the Third Proportional to 65,979.56 and 102,227.06

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Solution

The third proportional to 65,979.56 and 102,227.06 is: 158,388.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,979.56 : 102,227.06 = 102,227.06 : x
  2. Step 2: Convert to fraction form
    65,979.56/102,227.06 = 102,227.06/x
  3. Step 3: Cross multiply
    65,979.56x = 102,227.06 × 102,227.06
  4. Step 4: Simplify right side
    65,979.56x = 10,450,372,307.38
  5. Step 5: Solve for x
    x = 10,450,372,307.38/65,979.56
  6. Step 6: Final answer
    x = 158,388.02

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