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Finding the Third Proportional to 68,098 and 105,688

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Solution

The third proportional to 68,098 and 105,688 is: 164,027.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,098 : 105,688 = 105,688 : x
  2. Step 2: Convert to fraction form
    68,098/105,688 = 105,688/x
  3. Step 3: Cross multiply
    68,098x = 105,688 × 105,688
  4. Step 4: Simplify right side
    68,098x = 11,169,953,344
  5. Step 5: Solve for x
    x = 11,169,953,344/68,098
  6. Step 6: Final answer
    x = 164,027.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.