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Finding the Third Proportional to 46,088 and 100,520

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Solution

The third proportional to 46,088 and 100,520 is: 219,238.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,088 : 100,520 = 100,520 : x
  2. Step 2: Convert to fraction form
    46,088/100,520 = 100,520/x
  3. Step 3: Cross multiply
    46,088x = 100,520 × 100,520
  4. Step 4: Simplify right side
    46,088x = 10,104,270,400
  5. Step 5: Solve for x
    x = 10,104,270,400/46,088
  6. Step 6: Final answer
    x = 219,238.64

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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.