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Finding the Third Proportional to 62,901 and 137,465

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Solution

The third proportional to 62,901 and 137,465 is: 300,418.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,901 : 137,465 = 137,465 : x
  2. Step 2: Convert to fraction form
    62,901/137,465 = 137,465/x
  3. Step 3: Cross multiply
    62,901x = 137,465 × 137,465
  4. Step 4: Simplify right side
    62,901x = 18,896,626,225
  5. Step 5: Solve for x
    x = 18,896,626,225/62,901
  6. Step 6: Final answer
    x = 300,418.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.