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Finding the Third Proportional to 46,506 and 100,500

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Solution

The third proportional to 46,506 and 100,500 is: 217,181.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,506 : 100,500 = 100,500 : x
  2. Step 2: Convert to fraction form
    46,506/100,500 = 100,500/x
  3. Step 3: Cross multiply
    46,506x = 100,500 × 100,500
  4. Step 4: Simplify right side
    46,506x = 10,100,250,000
  5. Step 5: Solve for x
    x = 10,100,250,000/46,506
  6. Step 6: Final answer
    x = 217,181.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.