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Finding the Third Proportional to 114,518 and 164,942

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Solution

The third proportional to 114,518 and 164,942 is: 237,568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,518 : 164,942 = 164,942 : x
  2. Step 2: Convert to fraction form
    114,518/164,942 = 164,942/x
  3. Step 3: Cross multiply
    114,518x = 164,942 × 164,942
  4. Step 4: Simplify right side
    114,518x = 27,205,863,364
  5. Step 5: Solve for x
    x = 27,205,863,364/114,518
  6. Step 6: Final answer
    x = 237,568.45

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.