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Finding the Third Proportional to 53,696.06 and 106,037.06

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Solution

The third proportional to 53,696.06 and 106,037.06 is: 209,398.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,696.06 : 106,037.06 = 106,037.06 : x
  2. Step 2: Convert to fraction form
    53,696.06/106,037.06 = 106,037.06/x
  3. Step 3: Cross multiply
    53,696.06x = 106,037.06 × 106,037.06
  4. Step 4: Simplify right side
    53,696.06x = 11,243,858,623.63
  5. Step 5: Solve for x
    x = 11,243,858,623.63/53,696.06
  6. Step 6: Final answer
    x = 209,398.20

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.