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Finding the Third Proportional to 62,345 and 133,622

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Solution

The third proportional to 62,345 and 133,622 is: 286,387.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,345 : 133,622 = 133,622 : x
  2. Step 2: Convert to fraction form
    62,345/133,622 = 133,622/x
  3. Step 3: Cross multiply
    62,345x = 133,622 × 133,622
  4. Step 4: Simplify right side
    62,345x = 17,854,838,884
  5. Step 5: Solve for x
    x = 17,854,838,884/62,345
  6. Step 6: Final answer
    x = 286,387.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.