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Finding the Third Proportional to 46,784 and 101,504

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Solution

The third proportional to 46,784 and 101,504 is: 220,226.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,784 : 101,504 = 101,504 : x
  2. Step 2: Convert to fraction form
    46,784/101,504 = 101,504/x
  3. Step 3: Cross multiply
    46,784x = 101,504 × 101,504
  4. Step 4: Simplify right side
    46,784x = 10,303,062,016
  5. Step 5: Solve for x
    x = 10,303,062,016/46,784
  6. Step 6: Final answer
    x = 220,226.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.