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Finding the Third Proportional to 62,504 and 133,918

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Solution

The third proportional to 62,504 and 133,918 is: 286,926.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,504 : 133,918 = 133,918 : x
  2. Step 2: Convert to fraction form
    62,504/133,918 = 133,918/x
  3. Step 3: Cross multiply
    62,504x = 133,918 × 133,918
  4. Step 4: Simplify right side
    62,504x = 17,934,030,724
  5. Step 5: Solve for x
    x = 17,934,030,724/62,504
  6. Step 6: Final answer
    x = 286,926.13

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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.