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Finding the Third Proportional to 62,818 and 134,353

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Solution

The third proportional to 62,818 and 134,353 is: 287,349.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,818 : 134,353 = 134,353 : x
  2. Step 2: Convert to fraction form
    62,818/134,353 = 134,353/x
  3. Step 3: Cross multiply
    62,818x = 134,353 × 134,353
  4. Step 4: Simplify right side
    62,818x = 18,050,728,609
  5. Step 5: Solve for x
    x = 18,050,728,609/62,818
  6. Step 6: Final answer
    x = 287,349.62

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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.