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Finding the Third Proportional to 66,598 and 118,404

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Solution

The third proportional to 66,598 and 118,404 is: 210,509.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,598 : 118,404 = 118,404 : x
  2. Step 2: Convert to fraction form
    66,598/118,404 = 118,404/x
  3. Step 3: Cross multiply
    66,598x = 118,404 × 118,404
  4. Step 4: Simplify right side
    66,598x = 14,019,507,216
  5. Step 5: Solve for x
    x = 14,019,507,216/66,598
  6. Step 6: Final answer
    x = 210,509.43

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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.