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Finding the Third Proportional to 101,603 and 137,055

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Solution

The third proportional to 101,603 and 137,055 is: 184,877.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,603 : 137,055 = 137,055 : x
  2. Step 2: Convert to fraction form
    101,603/137,055 = 137,055/x
  3. Step 3: Cross multiply
    101,603x = 137,055 × 137,055
  4. Step 4: Simplify right side
    101,603x = 18,784,073,025
  5. Step 5: Solve for x
    x = 18,784,073,025/101,603
  6. Step 6: Final answer
    x = 184,877.15

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.