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Finding the Third Proportional to 56,112 and 120,970

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Solution

The third proportional to 56,112 and 120,970 is: 260,795.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,112 : 120,970 = 120,970 : x
  2. Step 2: Convert to fraction form
    56,112/120,970 = 120,970/x
  3. Step 3: Cross multiply
    56,112x = 120,970 × 120,970
  4. Step 4: Simplify right side
    56,112x = 14,633,740,900
  5. Step 5: Solve for x
    x = 14,633,740,900/56,112
  6. Step 6: Final answer
    x = 260,795.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.