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Finding the Third Proportional to 34,009.50 and 72,069

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Solution

The third proportional to 34,009.50 and 72,069 is: 152,720.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,009.50 : 72,069 = 72,069 : x
  2. Step 2: Convert to fraction form
    34,009.50/72,069 = 72,069/x
  3. Step 3: Cross multiply
    34,009.50x = 72,069 × 72,069
  4. Step 4: Simplify right side
    34,009.50x = 5,193,940,761
  5. Step 5: Solve for x
    x = 5,193,940,761/34,009.50
  6. Step 6: Final answer
    x = 152,720.29

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