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Finding the Third Proportional to 72,324 and 148,173

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Solution

The third proportional to 72,324 and 148,173 is: 303,567.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,324 : 148,173 = 148,173 : x
  2. Step 2: Convert to fraction form
    72,324/148,173 = 148,173/x
  3. Step 3: Cross multiply
    72,324x = 148,173 × 148,173
  4. Step 4: Simplify right side
    72,324x = 21,955,237,929
  5. Step 5: Solve for x
    x = 21,955,237,929/72,324
  6. Step 6: Final answer
    x = 303,567.81

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.