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Finding the Third Proportional to 31,460 and 69,136.75

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Solution

The third proportional to 31,460 and 69,136.75 is: 151,935.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,460 : 69,136.75 = 69,136.75 : x
  2. Step 2: Convert to fraction form
    31,460/69,136.75 = 69,136.75/x
  3. Step 3: Cross multiply
    31,460x = 69,136.75 × 69,136.75
  4. Step 4: Simplify right side
    31,460x = 4,779,890,200.56
  5. Step 5: Solve for x
    x = 4,779,890,200.56/31,460
  6. Step 6: Final answer
    x = 151,935.48

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.