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Finding the Third Proportional to 43,136 and 58,006

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Solution

The third proportional to 43,136 and 58,006 is: 78,002.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,136 : 58,006 = 58,006 : x
  2. Step 2: Convert to fraction form
    43,136/58,006 = 58,006/x
  3. Step 3: Cross multiply
    43,136x = 58,006 × 58,006
  4. Step 4: Simplify right side
    43,136x = 3,364,696,036
  5. Step 5: Solve for x
    x = 3,364,696,036/43,136
  6. Step 6: Final answer
    x = 78,002.04

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.