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Finding the Third Proportional to 95,072.06 and 146,145.94

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Solution

The third proportional to 95,072.06 and 146,145.94 is: 224,657.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,072.06 : 146,145.94 = 146,145.94 : x
  2. Step 2: Convert to fraction form
    95,072.06/146,145.94 = 146,145.94/x
  3. Step 3: Cross multiply
    95,072.06x = 146,145.94 × 146,145.94
  4. Step 4: Simplify right side
    95,072.06x = 21,358,635,047.75
  5. Step 5: Solve for x
    x = 21,358,635,047.75/95,072.06
  6. Step 6: Final answer
    x = 224,657.32

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.