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Finding the Third Proportional to 31,136 and 72,008

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Solution

The third proportional to 31,136 and 72,008 is: 166,532.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,136 : 72,008 = 72,008 : x
  2. Step 2: Convert to fraction form
    31,136/72,008 = 72,008/x
  3. Step 3: Cross multiply
    31,136x = 72,008 × 72,008
  4. Step 4: Simplify right side
    31,136x = 5,185,152,064
  5. Step 5: Solve for x
    x = 5,185,152,064/31,136
  6. Step 6: Final answer
    x = 166,532.38

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.