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Finding the Third Proportional to 62,396 and 133,724

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Solution

The third proportional to 62,396 and 133,724 is: 286,590.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,396 : 133,724 = 133,724 : x
  2. Step 2: Convert to fraction form
    62,396/133,724 = 133,724/x
  3. Step 3: Cross multiply
    62,396x = 133,724 × 133,724
  4. Step 4: Simplify right side
    62,396x = 17,882,108,176
  5. Step 5: Solve for x
    x = 17,882,108,176/62,396
  6. Step 6: Final answer
    x = 286,590.62

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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.