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Finding the Third Proportional to 50,979 and 119,941.50

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Solution

The third proportional to 50,979 and 119,941.50 is: 282,193.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,979 : 119,941.50 = 119,941.50 : x
  2. Step 2: Convert to fraction form
    50,979/119,941.50 = 119,941.50/x
  3. Step 3: Cross multiply
    50,979x = 119,941.50 × 119,941.50
  4. Step 4: Simplify right side
    50,979x = 14,385,963,422.25
  5. Step 5: Solve for x
    x = 14,385,963,422.25/50,979
  6. Step 6: Final answer
    x = 282,193.91

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.