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Finding the Third Proportional to 45,360 and 105,450

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Solution

The third proportional to 45,360 and 105,450 is: 245,143.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,360 : 105,450 = 105,450 : x
  2. Step 2: Convert to fraction form
    45,360/105,450 = 105,450/x
  3. Step 3: Cross multiply
    45,360x = 105,450 × 105,450
  4. Step 4: Simplify right side
    45,360x = 11,119,702,500
  5. Step 5: Solve for x
    x = 11,119,702,500/45,360
  6. Step 6: Final answer
    x = 245,143.35

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.