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Finding the Third Proportional to 62,304 and 132,763

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Solution

The third proportional to 62,304 and 132,763 is: 282,903.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,304 : 132,763 = 132,763 : x
  2. Step 2: Convert to fraction form
    62,304/132,763 = 132,763/x
  3. Step 3: Cross multiply
    62,304x = 132,763 × 132,763
  4. Step 4: Simplify right side
    62,304x = 17,626,014,169
  5. Step 5: Solve for x
    x = 17,626,014,169/62,304
  6. Step 6: Final answer
    x = 282,903.41

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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.