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Finding the Third Proportional to 103,842 and 162,683

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Solution

The third proportional to 103,842 and 162,683 is: 254,865.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,842 : 162,683 = 162,683 : x
  2. Step 2: Convert to fraction form
    103,842/162,683 = 162,683/x
  3. Step 3: Cross multiply
    103,842x = 162,683 × 162,683
  4. Step 4: Simplify right side
    103,842x = 26,465,758,489
  5. Step 5: Solve for x
    x = 26,465,758,489/103,842
  6. Step 6: Final answer
    x = 254,865.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.