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Finding the Third Proportional to 72,975.94 and 110,838.38

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Solution

The third proportional to 72,975.94 and 110,838.38 is: 168,345.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,975.94 : 110,838.38 = 110,838.38 : x
  2. Step 2: Convert to fraction form
    72,975.94/110,838.38 = 110,838.38/x
  3. Step 3: Cross multiply
    72,975.94x = 110,838.38 × 110,838.38
  4. Step 4: Simplify right side
    72,975.94x = 12,285,145,372.64
  5. Step 5: Solve for x
    x = 12,285,145,372.64/72,975.94
  6. Step 6: Final answer
    x = 168,345.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.