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Finding the Third Proportional to 62,854 and 135,546

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Solution

The third proportional to 62,854 and 135,546 is: 292,307.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,854 : 135,546 = 135,546 : x
  2. Step 2: Convert to fraction form
    62,854/135,546 = 135,546/x
  3. Step 3: Cross multiply
    62,854x = 135,546 × 135,546
  4. Step 4: Simplify right side
    62,854x = 18,372,718,116
  5. Step 5: Solve for x
    x = 18,372,718,116/62,854
  6. Step 6: Final answer
    x = 292,307.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.