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Finding the Third Proportional to 62,297 and 132,751

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Solution

The third proportional to 62,297 and 132,751 is: 282,884.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,297 : 132,751 = 132,751 : x
  2. Step 2: Convert to fraction form
    62,297/132,751 = 132,751/x
  3. Step 3: Cross multiply
    62,297x = 132,751 × 132,751
  4. Step 4: Simplify right side
    62,297x = 17,622,828,001
  5. Step 5: Solve for x
    x = 17,622,828,001/62,297
  6. Step 6: Final answer
    x = 282,884.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.