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Finding the Third Proportional to 46,225 and 99,575

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Solution

The third proportional to 46,225 and 99,575 is: 214,498.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,225 : 99,575 = 99,575 : x
  2. Step 2: Convert to fraction form
    46,225/99,575 = 99,575/x
  3. Step 3: Cross multiply
    46,225x = 99,575 × 99,575
  4. Step 4: Simplify right side
    46,225x = 9,915,180,625
  5. Step 5: Solve for x
    x = 9,915,180,625/46,225
  6. Step 6: Final answer
    x = 214,498.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.