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Finding the Third Proportional to 25,130 and 55,282

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Solution

The third proportional to 25,130 and 55,282 is: 121,611.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,130 : 55,282 = 55,282 : x
  2. Step 2: Convert to fraction form
    25,130/55,282 = 55,282/x
  3. Step 3: Cross multiply
    25,130x = 55,282 × 55,282
  4. Step 4: Simplify right side
    25,130x = 3,056,099,524
  5. Step 5: Solve for x
    x = 3,056,099,524/25,130
  6. Step 6: Final answer
    x = 121,611.60

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.