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Finding the Third Proportional to 137,763 and 292,059

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Solution

The third proportional to 137,763 and 292,059 is: 619,168.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,763 : 292,059 = 292,059 : x
  2. Step 2: Convert to fraction form
    137,763/292,059 = 292,059/x
  3. Step 3: Cross multiply
    137,763x = 292,059 × 292,059
  4. Step 4: Simplify right side
    137,763x = 85,298,459,481
  5. Step 5: Solve for x
    x = 85,298,459,481/137,763
  6. Step 6: Final answer
    x = 619,168.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.