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Finding the Third Proportional to 107,204.06 and 140,971.22

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Solution

The third proportional to 107,204.06 and 140,971.22 is: 185,374.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,204.06 : 140,971.22 = 140,971.22 : x
  2. Step 2: Convert to fraction form
    107,204.06/140,971.22 = 140,971.22/x
  3. Step 3: Cross multiply
    107,204.06x = 140,971.22 × 140,971.22
  4. Step 4: Simplify right side
    107,204.06x = 19,872,884,515.86
  5. Step 5: Solve for x
    x = 19,872,884,515.86/107,204.06
  6. Step 6: Final answer
    x = 185,374.36

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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.