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Finding the Third Proportional to 71,383 and 155,342

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Solution

The third proportional to 71,383 and 155,342 is: 338,051.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,383 : 155,342 = 155,342 : x
  2. Step 2: Convert to fraction form
    71,383/155,342 = 155,342/x
  3. Step 3: Cross multiply
    71,383x = 155,342 × 155,342
  4. Step 4: Simplify right side
    71,383x = 24,131,136,964
  5. Step 5: Solve for x
    x = 24,131,136,964/71,383
  6. Step 6: Final answer
    x = 338,051.59

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