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Finding the Third Proportional to 46,080 and 100,504

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Solution

The third proportional to 46,080 and 100,504 is: 219,206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,080 : 100,504 = 100,504 : x
  2. Step 2: Convert to fraction form
    46,080/100,504 = 100,504/x
  3. Step 3: Cross multiply
    46,080x = 100,504 × 100,504
  4. Step 4: Simplify right side
    46,080x = 10,101,054,016
  5. Step 5: Solve for x
    x = 10,101,054,016/46,080
  6. Step 6: Final answer
    x = 219,206.90

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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.