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Finding the Third Proportional to 137,069 and 292,234

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Solution

The third proportional to 137,069 and 292,234 is: 623,049.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,069 : 292,234 = 292,234 : x
  2. Step 2: Convert to fraction form
    137,069/292,234 = 292,234/x
  3. Step 3: Cross multiply
    137,069x = 292,234 × 292,234
  4. Step 4: Simplify right side
    137,069x = 85,400,710,756
  5. Step 5: Solve for x
    x = 85,400,710,756/137,069
  6. Step 6: Final answer
    x = 623,049.05

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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.