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Finding the Third Proportional to 104,815.13 and 148,170.94

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Solution

The third proportional to 104,815.13 and 148,170.94 is: 209,460.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,815.13 : 148,170.94 = 148,170.94 : x
  2. Step 2: Convert to fraction form
    104,815.13/148,170.94 = 148,170.94/x
  3. Step 3: Cross multiply
    104,815.13x = 148,170.94 × 148,170.94
  4. Step 4: Simplify right side
    104,815.13x = 21,954,626,719.63
  5. Step 5: Solve for x
    x = 21,954,626,719.63/104,815.13
  6. Step 6: Final answer
    x = 209,460.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.