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Finding the Third Proportional to 79,512 and 107,602

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Solution

The third proportional to 79,512 and 107,602 is: 145,615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,512 : 107,602 = 107,602 : x
  2. Step 2: Convert to fraction form
    79,512/107,602 = 107,602/x
  3. Step 3: Cross multiply
    79,512x = 107,602 × 107,602
  4. Step 4: Simplify right side
    79,512x = 11,578,190,404
  5. Step 5: Solve for x
    x = 11,578,190,404/79,512
  6. Step 6: Final answer
    x = 145,615.64

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.