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Finding the Third Proportional to 57,024 and 117,684

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Solution

The third proportional to 57,024 and 117,684 is: 242,871.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,024 : 117,684 = 117,684 : x
  2. Step 2: Convert to fraction form
    57,024/117,684 = 117,684/x
  3. Step 3: Cross multiply
    57,024x = 117,684 × 117,684
  4. Step 4: Simplify right side
    57,024x = 13,849,523,856
  5. Step 5: Solve for x
    x = 13,849,523,856/57,024
  6. Step 6: Final answer
    x = 242,871.84

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.