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Finding the Third Proportional to 46,704 and 102,492

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Solution

The third proportional to 46,704 and 102,492 is: 224,918.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,704 : 102,492 = 102,492 : x
  2. Step 2: Convert to fraction form
    46,704/102,492 = 102,492/x
  3. Step 3: Cross multiply
    46,704x = 102,492 × 102,492
  4. Step 4: Simplify right side
    46,704x = 10,504,610,064
  5. Step 5: Solve for x
    x = 10,504,610,064/46,704
  6. Step 6: Final answer
    x = 224,918.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.