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Finding the Third Proportional to 46,060 and 100,900

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Solution

The third proportional to 46,060 and 100,900 is: 221,033.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,060 : 100,900 = 100,900 : x
  2. Step 2: Convert to fraction form
    46,060/100,900 = 100,900/x
  3. Step 3: Cross multiply
    46,060x = 100,900 × 100,900
  4. Step 4: Simplify right side
    46,060x = 10,180,810,000
  5. Step 5: Solve for x
    x = 10,180,810,000/46,060
  6. Step 6: Final answer
    x = 221,033.65

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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.