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Finding the Third Proportional to 71,640 and 155,968

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Solution

The third proportional to 71,640 and 155,968 is: 339,559.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,640 : 155,968 = 155,968 : x
  2. Step 2: Convert to fraction form
    71,640/155,968 = 155,968/x
  3. Step 3: Cross multiply
    71,640x = 155,968 × 155,968
  4. Step 4: Simplify right side
    71,640x = 24,326,017,024
  5. Step 5: Solve for x
    x = 24,326,017,024/71,640
  6. Step 6: Final answer
    x = 339,559.14

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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.