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Finding the Third Proportional to 105,076 and 160,756

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Solution

The third proportional to 105,076 and 160,756 is: 245,940.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,076 : 160,756 = 160,756 : x
  2. Step 2: Convert to fraction form
    105,076/160,756 = 160,756/x
  3. Step 3: Cross multiply
    105,076x = 160,756 × 160,756
  4. Step 4: Simplify right side
    105,076x = 25,842,491,536
  5. Step 5: Solve for x
    x = 25,842,491,536/105,076
  6. Step 6: Final answer
    x = 245,940.95

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.