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Finding the Third Proportional to 50,203 and 77,779.50

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Solution

The third proportional to 50,203 and 77,779.50 is: 120,503.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,203 : 77,779.50 = 77,779.50 : x
  2. Step 2: Convert to fraction form
    50,203/77,779.50 = 77,779.50/x
  3. Step 3: Cross multiply
    50,203x = 77,779.50 × 77,779.50
  4. Step 4: Simplify right side
    50,203x = 6,049,650,620.25
  5. Step 5: Solve for x
    x = 6,049,650,620.25/50,203
  6. Step 6: Final answer
    x = 120,503.77

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.