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Finding the Third Proportional to 50,276 and 77,773

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Solution

The third proportional to 50,276 and 77,773 is: 120,308.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,276 : 77,773 = 77,773 : x
  2. Step 2: Convert to fraction form
    50,276/77,773 = 77,773/x
  3. Step 3: Cross multiply
    50,276x = 77,773 × 77,773
  4. Step 4: Simplify right side
    50,276x = 6,048,639,529
  5. Step 5: Solve for x
    x = 6,048,639,529/50,276
  6. Step 6: Final answer
    x = 120,308.69

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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.