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Finding the Third Proportional to 32,113.13 and 67,688.16

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Solution

The third proportional to 32,113.13 and 67,688.16 is: 142,673.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,113.13 : 67,688.16 = 67,688.16 : x
  2. Step 2: Convert to fraction form
    32,113.13/67,688.16 = 67,688.16/x
  3. Step 3: Cross multiply
    32,113.13x = 67,688.16 × 67,688.16
  4. Step 4: Simplify right side
    32,113.13x = 4,581,686,496.52
  5. Step 5: Solve for x
    x = 4,581,686,496.52/32,113.13
  6. Step 6: Final answer
    x = 142,673.33

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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.