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Finding the Third Proportional to 106,029 and 233,010

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Solution

The third proportional to 106,029 and 233,010 is: 512,064.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,029 : 233,010 = 233,010 : x
  2. Step 2: Convert to fraction form
    106,029/233,010 = 233,010/x
  3. Step 3: Cross multiply
    106,029x = 233,010 × 233,010
  4. Step 4: Simplify right side
    106,029x = 54,293,660,100
  5. Step 5: Solve for x
    x = 54,293,660,100/106,029
  6. Step 6: Final answer
    x = 512,064.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.