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Finding the Third Proportional to 62,535 and 133,818

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Solution

The third proportional to 62,535 and 133,818 is: 286,355.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,535 : 133,818 = 133,818 : x
  2. Step 2: Convert to fraction form
    62,535/133,818 = 133,818/x
  3. Step 3: Cross multiply
    62,535x = 133,818 × 133,818
  4. Step 4: Simplify right side
    62,535x = 17,907,257,124
  5. Step 5: Solve for x
    x = 17,907,257,124/62,535
  6. Step 6: Final answer
    x = 286,355.75

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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.