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Finding the Third Proportional to 46,250 and 109,121

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Solution

The third proportional to 46,250 and 109,121 is: 257,457.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,250 : 109,121 = 109,121 : x
  2. Step 2: Convert to fraction form
    46,250/109,121 = 109,121/x
  3. Step 3: Cross multiply
    46,250x = 109,121 × 109,121
  4. Step 4: Simplify right side
    46,250x = 11,907,392,641
  5. Step 5: Solve for x
    x = 11,907,392,641/46,250
  6. Step 6: Final answer
    x = 257,457.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.