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Finding the Third Proportional to 46,836 and 110,559

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Solution

The third proportional to 46,836 and 110,559 is: 260,980.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,836 : 110,559 = 110,559 : x
  2. Step 2: Convert to fraction form
    46,836/110,559 = 110,559/x
  3. Step 3: Cross multiply
    46,836x = 110,559 × 110,559
  4. Step 4: Simplify right side
    46,836x = 12,223,292,481
  5. Step 5: Solve for x
    x = 12,223,292,481/46,836
  6. Step 6: Final answer
    x = 260,980.71

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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.