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Finding the Third Proportional to 114,034 and 177,000

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Solution

The third proportional to 114,034 and 177,000 is: 274,733.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,034 : 177,000 = 177,000 : x
  2. Step 2: Convert to fraction form
    114,034/177,000 = 177,000/x
  3. Step 3: Cross multiply
    114,034x = 177,000 × 177,000
  4. Step 4: Simplify right side
    114,034x = 31,329,000,000
  5. Step 5: Solve for x
    x = 31,329,000,000/114,034
  6. Step 6: Final answer
    x = 274,733.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.