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Finding the Third Proportional to 48,559.25 and 105,664

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Solution

The third proportional to 48,559.25 and 105,664 is: 229,922.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,559.25 : 105,664 = 105,664 : x
  2. Step 2: Convert to fraction form
    48,559.25/105,664 = 105,664/x
  3. Step 3: Cross multiply
    48,559.25x = 105,664 × 105,664
  4. Step 4: Simplify right side
    48,559.25x = 11,164,880,896
  5. Step 5: Solve for x
    x = 11,164,880,896/48,559.25
  6. Step 6: Final answer
    x = 229,922.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.