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Finding the Third Proportional to 77,211.38 and 166,724.25

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Solution

The third proportional to 77,211.38 and 166,724.25 is: 360,011.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,211.38 : 166,724.25 = 166,724.25 : x
  2. Step 2: Convert to fraction form
    77,211.38/166,724.25 = 166,724.25/x
  3. Step 3: Cross multiply
    77,211.38x = 166,724.25 × 166,724.25
  4. Step 4: Simplify right side
    77,211.38x = 27,796,975,538.06
  5. Step 5: Solve for x
    x = 27,796,975,538.06/77,211.38
  6. Step 6: Final answer
    x = 360,011.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.