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Finding the Third Proportional to 50,740 and 78,871

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Solution

The third proportional to 50,740 and 78,871 is: 122,598.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,740 : 78,871 = 78,871 : x
  2. Step 2: Convert to fraction form
    50,740/78,871 = 78,871/x
  3. Step 3: Cross multiply
    50,740x = 78,871 × 78,871
  4. Step 4: Simplify right side
    50,740x = 6,220,634,641
  5. Step 5: Solve for x
    x = 6,220,634,641/50,740
  6. Step 6: Final answer
    x = 122,598.24

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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.