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Finding the Third Proportional to 45,314 and 68,970

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Solution

The third proportional to 45,314 and 68,970 is: 104,975.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,314 : 68,970 = 68,970 : x
  2. Step 2: Convert to fraction form
    45,314/68,970 = 68,970/x
  3. Step 3: Cross multiply
    45,314x = 68,970 × 68,970
  4. Step 4: Simplify right side
    45,314x = 4,756,860,900
  5. Step 5: Solve for x
    x = 4,756,860,900/45,314
  6. Step 6: Final answer
    x = 104,975.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.