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Finding the Third Proportional to 95,072 and 146,146

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Solution

The third proportional to 95,072 and 146,146 is: 224,657.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,072 : 146,146 = 146,146 : x
  2. Step 2: Convert to fraction form
    95,072/146,146 = 146,146/x
  3. Step 3: Cross multiply
    95,072x = 146,146 × 146,146
  4. Step 4: Simplify right side
    95,072x = 21,358,653,316
  5. Step 5: Solve for x
    x = 21,358,653,316/95,072
  6. Step 6: Final answer
    x = 224,657.66

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Why These Related Problems?

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