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Finding the Third Proportional to 107,994 and 237,462

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Solution

The third proportional to 107,994 and 237,462 is: 522,141.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,994 : 237,462 = 237,462 : x
  2. Step 2: Convert to fraction form
    107,994/237,462 = 237,462/x
  3. Step 3: Cross multiply
    107,994x = 237,462 × 237,462
  4. Step 4: Simplify right side
    107,994x = 56,388,201,444
  5. Step 5: Solve for x
    x = 56,388,201,444/107,994
  6. Step 6: Final answer
    x = 522,141.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.