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Finding the Third Proportional to 64,701 and 137,177

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Solution

The third proportional to 64,701 and 137,177 is: 290,838.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,701 : 137,177 = 137,177 : x
  2. Step 2: Convert to fraction form
    64,701/137,177 = 137,177/x
  3. Step 3: Cross multiply
    64,701x = 137,177 × 137,177
  4. Step 4: Simplify right side
    64,701x = 18,817,529,329
  5. Step 5: Solve for x
    x = 18,817,529,329/64,701
  6. Step 6: Final answer
    x = 290,838.31

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Why These Related Problems?

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