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Finding the Third Proportional to 46,814 and 83,244

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Solution

The third proportional to 46,814 and 83,244 is: 148,023.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,814 : 83,244 = 83,244 : x
  2. Step 2: Convert to fraction form
    46,814/83,244 = 83,244/x
  3. Step 3: Cross multiply
    46,814x = 83,244 × 83,244
  4. Step 4: Simplify right side
    46,814x = 6,929,563,536
  5. Step 5: Solve for x
    x = 6,929,563,536/46,814
  6. Step 6: Final answer
    x = 148,023.32

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.