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Finding the Third Proportional to 68,989.22 and 101,212.03

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Solution

The third proportional to 68,989.22 and 101,212.03 is: 148,485.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,989.22 : 101,212.03 = 101,212.03 : x
  2. Step 2: Convert to fraction form
    68,989.22/101,212.03 = 101,212.03/x
  3. Step 3: Cross multiply
    68,989.22x = 101,212.03 × 101,212.03
  4. Step 4: Simplify right side
    68,989.22x = 10,243,875,269.75
  5. Step 5: Solve for x
    x = 10,243,875,269.75/68,989.22
  6. Step 6: Final answer
    x = 148,485.16

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.