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Finding the Third Proportional to 94,052 and 190,534

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Solution

The third proportional to 94,052 and 190,534 is: 385,990.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,052 : 190,534 = 190,534 : x
  2. Step 2: Convert to fraction form
    94,052/190,534 = 190,534/x
  3. Step 3: Cross multiply
    94,052x = 190,534 × 190,534
  4. Step 4: Simplify right side
    94,052x = 36,303,205,156
  5. Step 5: Solve for x
    x = 36,303,205,156/94,052
  6. Step 6: Final answer
    x = 385,990.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.