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Finding the Third Proportional to 46,812 and 83,240

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Solution

The third proportional to 46,812 and 83,240 is: 148,015.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,812 : 83,240 = 83,240 : x
  2. Step 2: Convert to fraction form
    46,812/83,240 = 83,240/x
  3. Step 3: Cross multiply
    46,812x = 83,240 × 83,240
  4. Step 4: Simplify right side
    46,812x = 6,928,897,600
  5. Step 5: Solve for x
    x = 6,928,897,600/46,812
  6. Step 6: Final answer
    x = 148,015.41

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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.