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Finding the Third Proportional to 107,233 and 141,010

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Solution

The third proportional to 107,233 and 141,010 is: 185,426.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,233 : 141,010 = 141,010 : x
  2. Step 2: Convert to fraction form
    107,233/141,010 = 141,010/x
  3. Step 3: Cross multiply
    107,233x = 141,010 × 141,010
  4. Step 4: Simplify right side
    107,233x = 19,883,820,100
  5. Step 5: Solve for x
    x = 19,883,820,100/107,233
  6. Step 6: Final answer
    x = 185,426.32

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.