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Finding the Third Proportional to 73,904.75 and 161,611.25

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Solution

The third proportional to 73,904.75 and 161,611.25 is: 353,403.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,904.75 : 161,611.25 = 161,611.25 : x
  2. Step 2: Convert to fraction form
    73,904.75/161,611.25 = 161,611.25/x
  3. Step 3: Cross multiply
    73,904.75x = 161,611.25 × 161,611.25
  4. Step 4: Simplify right side
    73,904.75x = 26,118,196,126.56
  5. Step 5: Solve for x
    x = 26,118,196,126.56/73,904.75
  6. Step 6: Final answer
    x = 353,403.48

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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.