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Finding the Third Proportional to 50,748 and 110,143.50

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Solution

The third proportional to 50,748 and 110,143.50 is: 239,055.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,748 : 110,143.50 = 110,143.50 : x
  2. Step 2: Convert to fraction form
    50,748/110,143.50 = 110,143.50/x
  3. Step 3: Cross multiply
    50,748x = 110,143.50 × 110,143.50
  4. Step 4: Simplify right side
    50,748x = 12,131,590,592.25
  5. Step 5: Solve for x
    x = 12,131,590,592.25/50,748
  6. Step 6: Final answer
    x = 239,055.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.