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Finding the Third Proportional to 34,023 and 72,163.50

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Solution

The third proportional to 34,023 and 72,163.50 is: 153,060.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,023 : 72,163.50 = 72,163.50 : x
  2. Step 2: Convert to fraction form
    34,023/72,163.50 = 72,163.50/x
  3. Step 3: Cross multiply
    34,023x = 72,163.50 × 72,163.50
  4. Step 4: Simplify right side
    34,023x = 5,207,570,732.25
  5. Step 5: Solve for x
    x = 5,207,570,732.25/34,023
  6. Step 6: Final answer
    x = 153,060.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.