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Finding the Third Proportional to 62,339 and 137,803

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Solution

The third proportional to 62,339 and 137,803 is: 304,619.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,339 : 137,803 = 137,803 : x
  2. Step 2: Convert to fraction form
    62,339/137,803 = 137,803/x
  3. Step 3: Cross multiply
    62,339x = 137,803 × 137,803
  4. Step 4: Simplify right side
    62,339x = 18,989,666,809
  5. Step 5: Solve for x
    x = 18,989,666,809/62,339
  6. Step 6: Final answer
    x = 304,619.37

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.