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Finding the Third Proportional to 104,903.25 and 160,977.75

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Solution

The third proportional to 104,903.25 and 160,977.75 is: 247,026.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,903.25 : 160,977.75 = 160,977.75 : x
  2. Step 2: Convert to fraction form
    104,903.25/160,977.75 = 160,977.75/x
  3. Step 3: Cross multiply
    104,903.25x = 160,977.75 × 160,977.75
  4. Step 4: Simplify right side
    104,903.25x = 25,913,835,995.06
  5. Step 5: Solve for x
    x = 25,913,835,995.06/104,903.25
  6. Step 6: Final answer
    x = 247,026.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.