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Finding the Third Proportional to 62,534 and 133,816

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Solution

The third proportional to 62,534 and 133,816 is: 286,351.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,534 : 133,816 = 133,816 : x
  2. Step 2: Convert to fraction form
    62,534/133,816 = 133,816/x
  3. Step 3: Cross multiply
    62,534x = 133,816 × 133,816
  4. Step 4: Simplify right side
    62,534x = 17,906,721,856
  5. Step 5: Solve for x
    x = 17,906,721,856/62,534
  6. Step 6: Final answer
    x = 286,351.77

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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.