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Finding the Third Proportional to 63,072 and 137,754

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Solution

The third proportional to 63,072 and 137,754 is: 300,865.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,072 : 137,754 = 137,754 : x
  2. Step 2: Convert to fraction form
    63,072/137,754 = 137,754/x
  3. Step 3: Cross multiply
    63,072x = 137,754 × 137,754
  4. Step 4: Simplify right side
    63,072x = 18,976,164,516
  5. Step 5: Solve for x
    x = 18,976,164,516/63,072
  6. Step 6: Final answer
    x = 300,865.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.