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Finding the Third Proportional to 94,968 and 140,988

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Solution

The third proportional to 94,968 and 140,988 is: 209,308.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,968 : 140,988 = 140,988 : x
  2. Step 2: Convert to fraction form
    94,968/140,988 = 140,988/x
  3. Step 3: Cross multiply
    94,968x = 140,988 × 140,988
  4. Step 4: Simplify right side
    94,968x = 19,877,616,144
  5. Step 5: Solve for x
    x = 19,877,616,144/94,968
  6. Step 6: Final answer
    x = 209,308.57

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.