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Finding the Third Proportional to 72,293.63 and 108,015.19

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Solution

The third proportional to 72,293.63 and 108,015.19 is: 161,387.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,293.63 : 108,015.19 = 108,015.19 : x
  2. Step 2: Convert to fraction form
    72,293.63/108,015.19 = 108,015.19/x
  3. Step 3: Cross multiply
    72,293.63x = 108,015.19 × 108,015.19
  4. Step 4: Simplify right side
    72,293.63x = 11,667,280,730.66
  5. Step 5: Solve for x
    x = 11,667,280,730.66/72,293.63
  6. Step 6: Final answer
    x = 161,387.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.