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Finding the Third Proportional to 34,091 and 73,039

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Solution

The third proportional to 34,091 and 73,039 is: 156,483.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,091 : 73,039 = 73,039 : x
  2. Step 2: Convert to fraction form
    34,091/73,039 = 73,039/x
  3. Step 3: Cross multiply
    34,091x = 73,039 × 73,039
  4. Step 4: Simplify right side
    34,091x = 5,334,695,521
  5. Step 5: Solve for x
    x = 5,334,695,521/34,091
  6. Step 6: Final answer
    x = 156,483.98

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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.