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Finding the Third Proportional to 73,507.50 and 161,025

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Solution

The third proportional to 73,507.50 and 161,025 is: 352,740.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,507.50 : 161,025 = 161,025 : x
  2. Step 2: Convert to fraction form
    73,507.50/161,025 = 161,025/x
  3. Step 3: Cross multiply
    73,507.50x = 161,025 × 161,025
  4. Step 4: Simplify right side
    73,507.50x = 25,929,050,625
  5. Step 5: Solve for x
    x = 25,929,050,625/73,507.50
  6. Step 6: Final answer
    x = 352,740.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.