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Finding the Third Proportional to 25,116 and 40,146

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Solution

The third proportional to 25,116 and 40,146 is: 64,170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,116 : 40,146 = 40,146 : x
  2. Step 2: Convert to fraction form
    25,116/40,146 = 40,146/x
  3. Step 3: Cross multiply
    25,116x = 40,146 × 40,146
  4. Step 4: Simplify right side
    25,116x = 1,611,701,316
  5. Step 5: Solve for x
    x = 1,611,701,316/25,116
  6. Step 6: Final answer
    x = 64,170.30

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.