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Finding the Third Proportional to 95,778 and 153,006

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Solution

The third proportional to 95,778 and 153,006 is: 244,428.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,778 : 153,006 = 153,006 : x
  2. Step 2: Convert to fraction form
    95,778/153,006 = 153,006/x
  3. Step 3: Cross multiply
    95,778x = 153,006 × 153,006
  4. Step 4: Simplify right side
    95,778x = 23,410,836,036
  5. Step 5: Solve for x
    x = 23,410,836,036/95,778
  6. Step 6: Final answer
    x = 244,428.12

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.