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Finding the Third Proportional to 62,827 and 135,495

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Solution

The third proportional to 62,827 and 135,495 is: 292,213.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,827 : 135,495 = 135,495 : x
  2. Step 2: Convert to fraction form
    62,827/135,495 = 135,495/x
  3. Step 3: Cross multiply
    62,827x = 135,495 × 135,495
  4. Step 4: Simplify right side
    62,827x = 18,358,895,025
  5. Step 5: Solve for x
    x = 18,358,895,025/62,827
  6. Step 6: Final answer
    x = 292,213.46

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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.