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Finding the Third Proportional to 105,195.75 and 147,965.63

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Solution

The third proportional to 105,195.75 and 147,965.63 is: 208,124.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,195.75 : 147,965.63 = 147,965.63 : x
  2. Step 2: Convert to fraction form
    105,195.75/147,965.63 = 147,965.63/x
  3. Step 3: Cross multiply
    105,195.75x = 147,965.63 × 147,965.63
  4. Step 4: Simplify right side
    105,195.75x = 21,893,826,181.64
  5. Step 5: Solve for x
    x = 21,893,826,181.64/105,195.75
  6. Step 6: Final answer
    x = 208,124.63

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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.