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Finding the Third Proportional to 32,118.19 and 67,699.13

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Solution

The third proportional to 32,118.19 and 67,699.13 is: 142,697.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,118.19 : 67,699.13 = 67,699.13 : x
  2. Step 2: Convert to fraction form
    32,118.19/67,699.13 = 67,699.13/x
  3. Step 3: Cross multiply
    32,118.19x = 67,699.13 × 67,699.13
  4. Step 4: Simplify right side
    32,118.19x = 4,583,171,525.77
  5. Step 5: Solve for x
    x = 4,583,171,525.77/32,118.19
  6. Step 6: Final answer
    x = 142,697.08

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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.