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Finding the Third Proportional to 72,050 and 168,292

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Solution

The third proportional to 72,050 and 168,292 is: 393,090.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,050 : 168,292 = 168,292 : x
  2. Step 2: Convert to fraction form
    72,050/168,292 = 168,292/x
  3. Step 3: Cross multiply
    72,050x = 168,292 × 168,292
  4. Step 4: Simplify right side
    72,050x = 28,322,197,264
  5. Step 5: Solve for x
    x = 28,322,197,264/72,050
  6. Step 6: Final answer
    x = 393,090.87

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.