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Finding the Third Proportional to 137,769 and 292,071

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Solution

The third proportional to 137,769 and 292,071 is: 619,192.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,769 : 292,071 = 292,071 : x
  2. Step 2: Convert to fraction form
    137,769/292,071 = 292,071/x
  3. Step 3: Cross multiply
    137,769x = 292,071 × 292,071
  4. Step 4: Simplify right side
    137,769x = 85,305,469,041
  5. Step 5: Solve for x
    x = 85,305,469,041/137,769
  6. Step 6: Final answer
    x = 619,192.05

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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.