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Finding the Third Proportional to 57,084 and 118,146

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Solution

The third proportional to 57,084 and 118,146 is: 244,525.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,084 : 118,146 = 118,146 : x
  2. Step 2: Convert to fraction form
    57,084/118,146 = 118,146/x
  3. Step 3: Cross multiply
    57,084x = 118,146 × 118,146
  4. Step 4: Simplify right side
    57,084x = 13,958,477,316
  5. Step 5: Solve for x
    x = 13,958,477,316/57,084
  6. Step 6: Final answer
    x = 244,525.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.