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Finding the Third Proportional to 103,487 and 158,238

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Solution

The third proportional to 103,487 and 158,238 is: 241,955.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,487 : 158,238 = 158,238 : x
  2. Step 2: Convert to fraction form
    103,487/158,238 = 158,238/x
  3. Step 3: Cross multiply
    103,487x = 158,238 × 158,238
  4. Step 4: Simplify right side
    103,487x = 25,039,264,644
  5. Step 5: Solve for x
    x = 25,039,264,644/103,487
  6. Step 6: Final answer
    x = 241,955.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.