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Finding the Third Proportional to 107,971.31 and 141,172.88

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Solution

The third proportional to 107,971.31 and 141,172.88 is: 184,584.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,971.31 : 141,172.88 = 141,172.88 : x
  2. Step 2: Convert to fraction form
    107,971.31/141,172.88 = 141,172.88/x
  3. Step 3: Cross multiply
    107,971.31x = 141,172.88 × 141,172.88
  4. Step 4: Simplify right side
    107,971.31x = 19,929,780,635.77
  5. Step 5: Solve for x
    x = 19,929,780,635.77/107,971.31
  6. Step 6: Final answer
    x = 184,584.04

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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.