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Finding the Third Proportional to 64,623 and 137,073

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Solution

The third proportional to 64,623 and 137,073 is: 290,747.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,623 : 137,073 = 137,073 : x
  2. Step 2: Convert to fraction form
    64,623/137,073 = 137,073/x
  3. Step 3: Cross multiply
    64,623x = 137,073 × 137,073
  4. Step 4: Simplify right side
    64,623x = 18,789,007,329
  5. Step 5: Solve for x
    x = 18,789,007,329/64,623
  6. Step 6: Final answer
    x = 290,747.99

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.