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Finding the Third Proportional to 102,383 and 157,173

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Solution

The third proportional to 102,383 and 157,173 is: 241,283.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,383 : 157,173 = 157,173 : x
  2. Step 2: Convert to fraction form
    102,383/157,173 = 157,173/x
  3. Step 3: Cross multiply
    102,383x = 157,173 × 157,173
  4. Step 4: Simplify right side
    102,383x = 24,703,351,929
  5. Step 5: Solve for x
    x = 24,703,351,929/102,383
  6. Step 6: Final answer
    x = 241,283.73

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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.