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Finding the Third Proportional to 80,734.22 and 115,564.22

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Solution

The third proportional to 80,734.22 and 115,564.22 is: 165,420.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,734.22 : 115,564.22 = 115,564.22 : x
  2. Step 2: Convert to fraction form
    80,734.22/115,564.22 = 115,564.22/x
  3. Step 3: Cross multiply
    80,734.22x = 115,564.22 × 115,564.22
  4. Step 4: Simplify right side
    80,734.22x = 13,355,088,655.30
  5. Step 5: Solve for x
    x = 13,355,088,655.30/80,734.22
  6. Step 6: Final answer
    x = 165,420.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.