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Finding the Third Proportional to 79,270.31 and 165,088.13

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Solution

The third proportional to 79,270.31 and 165,088.13 is: 343,812.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,270.31 : 165,088.13 = 165,088.13 : x
  2. Step 2: Convert to fraction form
    79,270.31/165,088.13 = 165,088.13/x
  3. Step 3: Cross multiply
    79,270.31x = 165,088.13 × 165,088.13
  4. Step 4: Simplify right side
    79,270.31x = 27,254,089,016.02
  5. Step 5: Solve for x
    x = 27,254,089,016.02/79,270.31
  6. Step 6: Final answer
    x = 343,812.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.