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Finding the Third Proportional to 32,077 and 69,968

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Solution

The third proportional to 32,077 and 69,968 is: 152,617.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,077 : 69,968 = 69,968 : x
  2. Step 2: Convert to fraction form
    32,077/69,968 = 69,968/x
  3. Step 3: Cross multiply
    32,077x = 69,968 × 69,968
  4. Step 4: Simplify right side
    32,077x = 4,895,521,024
  5. Step 5: Solve for x
    x = 4,895,521,024/32,077
  6. Step 6: Final answer
    x = 152,617.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.