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Finding the Third Proportional to 34,089 and 73,035

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Solution

The third proportional to 34,089 and 73,035 is: 156,476.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,089 : 73,035 = 73,035 : x
  2. Step 2: Convert to fraction form
    34,089/73,035 = 73,035/x
  3. Step 3: Cross multiply
    34,089x = 73,035 × 73,035
  4. Step 4: Simplify right side
    34,089x = 5,334,111,225
  5. Step 5: Solve for x
    x = 5,334,111,225/34,089
  6. Step 6: Final answer
    x = 156,476.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.