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Finding the Third Proportional to 34,075.13 and 71,871.19

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Solution

The third proportional to 34,075.13 and 71,871.19 is: 151,590.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,075.13 : 71,871.19 = 71,871.19 : x
  2. Step 2: Convert to fraction form
    34,075.13/71,871.19 = 71,871.19/x
  3. Step 3: Cross multiply
    34,075.13x = 71,871.19 × 71,871.19
  4. Step 4: Simplify right side
    34,075.13x = 5,165,467,592.66
  5. Step 5: Solve for x
    x = 5,165,467,592.66/34,075.13
  6. Step 6: Final answer
    x = 151,590.57

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.