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Finding the Third Proportional to 95,958 and 153,306

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Solution

The third proportional to 95,958 and 153,306 is: 244,927.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,958 : 153,306 = 153,306 : x
  2. Step 2: Convert to fraction form
    95,958/153,306 = 153,306/x
  3. Step 3: Cross multiply
    95,958x = 153,306 × 153,306
  4. Step 4: Simplify right side
    95,958x = 23,502,729,636
  5. Step 5: Solve for x
    x = 23,502,729,636/95,958
  6. Step 6: Final answer
    x = 244,927.26

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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.