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Finding the Third Proportional to 105,343 and 168,098

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Solution

The third proportional to 105,343 and 168,098 is: 268,237.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,343 : 168,098 = 168,098 : x
  2. Step 2: Convert to fraction form
    105,343/168,098 = 168,098/x
  3. Step 3: Cross multiply
    105,343x = 168,098 × 168,098
  4. Step 4: Simplify right side
    105,343x = 28,256,937,604
  5. Step 5: Solve for x
    x = 28,256,937,604/105,343
  6. Step 6: Final answer
    x = 268,237.45

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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.