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Finding the Third Proportional to 46,876.50 and 104,121

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Solution

The third proportional to 46,876.50 and 104,121 is: 231,271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,876.50 : 104,121 = 104,121 : x
  2. Step 2: Convert to fraction form
    46,876.50/104,121 = 104,121/x
  3. Step 3: Cross multiply
    46,876.50x = 104,121 × 104,121
  4. Step 4: Simplify right side
    46,876.50x = 10,841,182,641
  5. Step 5: Solve for x
    x = 10,841,182,641/46,876.50
  6. Step 6: Final answer
    x = 231,271.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.