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Finding the Third Proportional to 65,833 and 106,023

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Solution

The third proportional to 65,833 and 106,023 is: 170,748.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,833 : 106,023 = 106,023 : x
  2. Step 2: Convert to fraction form
    65,833/106,023 = 106,023/x
  3. Step 3: Cross multiply
    65,833x = 106,023 × 106,023
  4. Step 4: Simplify right side
    65,833x = 11,240,876,529
  5. Step 5: Solve for x
    x = 11,240,876,529/65,833
  6. Step 6: Final answer
    x = 170,748.36

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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.