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Finding the Third Proportional to 65,842 and 106,038

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Solution

The third proportional to 65,842 and 106,038 is: 170,773.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,842 : 106,038 = 106,038 : x
  2. Step 2: Convert to fraction form
    65,842/106,038 = 106,038/x
  3. Step 3: Cross multiply
    65,842x = 106,038 × 106,038
  4. Step 4: Simplify right side
    65,842x = 11,244,057,444
  5. Step 5: Solve for x
    x = 11,244,057,444/65,842
  6. Step 6: Final answer
    x = 170,773.33

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.