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Finding the Third Proportional to 114,518 and 171,248

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Solution

The third proportional to 114,518 and 171,248 is: 256,080.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,518 : 171,248 = 171,248 : x
  2. Step 2: Convert to fraction form
    114,518/171,248 = 171,248/x
  3. Step 3: Cross multiply
    114,518x = 171,248 × 171,248
  4. Step 4: Simplify right side
    114,518x = 29,325,877,504
  5. Step 5: Solve for x
    x = 29,325,877,504/114,518
  6. Step 6: Final answer
    x = 256,080.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.