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Finding the Third Proportional to 94,976 and 141,000

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Solution

The third proportional to 94,976 and 141,000 is: 209,326.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,976 : 141,000 = 141,000 : x
  2. Step 2: Convert to fraction form
    94,976/141,000 = 141,000/x
  3. Step 3: Cross multiply
    94,976x = 141,000 × 141,000
  4. Step 4: Simplify right side
    94,976x = 19,881,000,000
  5. Step 5: Solve for x
    x = 19,881,000,000/94,976
  6. Step 6: Final answer
    x = 209,326.57

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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.