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Finding the Third Proportional to 122,042 and 262,810

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Solution

The third proportional to 122,042 and 262,810 is: 565,945.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,042 : 262,810 = 262,810 : x
  2. Step 2: Convert to fraction form
    122,042/262,810 = 262,810/x
  3. Step 3: Cross multiply
    122,042x = 262,810 × 262,810
  4. Step 4: Simplify right side
    122,042x = 69,069,096,100
  5. Step 5: Solve for x
    x = 69,069,096,100/122,042
  6. Step 6: Final answer
    x = 565,945.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.