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Finding the Third Proportional to 50,483.25 and 110,758.50

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Solution

The third proportional to 50,483.25 and 110,758.50 is: 243,000.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,483.25 : 110,758.50 = 110,758.50 : x
  2. Step 2: Convert to fraction form
    50,483.25/110,758.50 = 110,758.50/x
  3. Step 3: Cross multiply
    50,483.25x = 110,758.50 × 110,758.50
  4. Step 4: Simplify right side
    50,483.25x = 12,267,445,322.25
  5. Step 5: Solve for x
    x = 12,267,445,322.25/50,483.25
  6. Step 6: Final answer
    x = 243,000.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.