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Finding the Third Proportional to 137,766 and 292,068

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Solution

The third proportional to 137,766 and 292,068 is: 619,192.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,766 : 292,068 = 292,068 : x
  2. Step 2: Convert to fraction form
    137,766/292,068 = 292,068/x
  3. Step 3: Cross multiply
    137,766x = 292,068 × 292,068
  4. Step 4: Simplify right side
    137,766x = 85,303,716,624
  5. Step 5: Solve for x
    x = 85,303,716,624/137,766
  6. Step 6: Final answer
    x = 619,192.81

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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.