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Finding the Third Proportional to 114,068 and 170,126

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Solution

The third proportional to 114,068 and 170,126 is: 253,733.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,068 : 170,126 = 170,126 : x
  2. Step 2: Convert to fraction form
    114,068/170,126 = 170,126/x
  3. Step 3: Cross multiply
    114,068x = 170,126 × 170,126
  4. Step 4: Simplify right side
    114,068x = 28,942,855,876
  5. Step 5: Solve for x
    x = 28,942,855,876/114,068
  6. Step 6: Final answer
    x = 253,733.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.