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Finding the Third Proportional to 72,008 and 151,296

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Solution

The third proportional to 72,008 and 151,296 is: 317,888.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,008 : 151,296 = 151,296 : x
  2. Step 2: Convert to fraction form
    72,008/151,296 = 151,296/x
  3. Step 3: Cross multiply
    72,008x = 151,296 × 151,296
  4. Step 4: Simplify right side
    72,008x = 22,890,479,616
  5. Step 5: Solve for x
    x = 22,890,479,616/72,008
  6. Step 6: Final answer
    x = 317,888.01

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.