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Finding the Third Proportional to 47,994 and 104,722.50

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Solution

The third proportional to 47,994 and 104,722.50 is: 228,503.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,994 : 104,722.50 = 104,722.50 : x
  2. Step 2: Convert to fraction form
    47,994/104,722.50 = 104,722.50/x
  3. Step 3: Cross multiply
    47,994x = 104,722.50 × 104,722.50
  4. Step 4: Simplify right side
    47,994x = 10,966,802,006.25
  5. Step 5: Solve for x
    x = 10,966,802,006.25/47,994
  6. Step 6: Final answer
    x = 228,503.60

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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.