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Finding the Third Proportional to 51,850 and 106,970

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Solution

The third proportional to 51,850 and 106,970 is: 220,686.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,850 : 106,970 = 106,970 : x
  2. Step 2: Convert to fraction form
    51,850/106,970 = 106,970/x
  3. Step 3: Cross multiply
    51,850x = 106,970 × 106,970
  4. Step 4: Simplify right side
    51,850x = 11,442,580,900
  5. Step 5: Solve for x
    x = 11,442,580,900/51,850
  6. Step 6: Final answer
    x = 220,686.23

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.