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Finding the Third Proportional to 95,882 and 153,178

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Solution

The third proportional to 95,882 and 153,178 is: 244,712.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,882 : 153,178 = 153,178 : x
  2. Step 2: Convert to fraction form
    95,882/153,178 = 153,178/x
  3. Step 3: Cross multiply
    95,882x = 153,178 × 153,178
  4. Step 4: Simplify right side
    95,882x = 23,463,499,684
  5. Step 5: Solve for x
    x = 23,463,499,684/95,882
  6. Step 6: Final answer
    x = 244,712.25

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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.