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Finding the Third Proportional to 106,532 and 233,110

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Solution

The third proportional to 106,532 and 233,110 is: 510,084.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,532 : 233,110 = 233,110 : x
  2. Step 2: Convert to fraction form
    106,532/233,110 = 233,110/x
  3. Step 3: Cross multiply
    106,532x = 233,110 × 233,110
  4. Step 4: Simplify right side
    106,532x = 54,340,272,100
  5. Step 5: Solve for x
    x = 54,340,272,100/106,532
  6. Step 6: Final answer
    x = 510,084.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.