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Finding the Third Proportional to 72,000 and 168,172

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Solution

The third proportional to 72,000 and 168,172 is: 392,803.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,000 : 168,172 = 168,172 : x
  2. Step 2: Convert to fraction form
    72,000/168,172 = 168,172/x
  3. Step 3: Cross multiply
    72,000x = 168,172 × 168,172
  4. Step 4: Simplify right side
    72,000x = 28,281,821,584
  5. Step 5: Solve for x
    x = 28,281,821,584/72,000
  6. Step 6: Final answer
    x = 392,803.08

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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.