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Finding the Third Proportional to 46,080 and 69,104

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Solution

The third proportional to 46,080 and 69,104 is: 103,632.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,080 : 69,104 = 69,104 : x
  2. Step 2: Convert to fraction form
    46,080/69,104 = 69,104/x
  3. Step 3: Cross multiply
    46,080x = 69,104 × 69,104
  4. Step 4: Simplify right side
    46,080x = 4,775,362,816
  5. Step 5: Solve for x
    x = 4,775,362,816/46,080
  6. Step 6: Final answer
    x = 103,632.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.