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Finding the Third Proportional to 46,836 and 110,558

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Solution

The third proportional to 46,836 and 110,558 is: 260,975.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,836 : 110,558 = 110,558 : x
  2. Step 2: Convert to fraction form
    46,836/110,558 = 110,558/x
  3. Step 3: Cross multiply
    46,836x = 110,558 × 110,558
  4. Step 4: Simplify right side
    46,836x = 12,223,071,364
  5. Step 5: Solve for x
    x = 12,223,071,364/46,836
  6. Step 6: Final answer
    x = 260,975.99

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.