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Finding the Third Proportional to 72,007 and 108,010

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Solution

The third proportional to 72,007 and 108,010 is: 162,014.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,007 : 108,010 = 108,010 : x
  2. Step 2: Convert to fraction form
    72,007/108,010 = 108,010/x
  3. Step 3: Cross multiply
    72,007x = 108,010 × 108,010
  4. Step 4: Simplify right side
    72,007x = 11,666,160,100
  5. Step 5: Solve for x
    x = 11,666,160,100/72,007
  6. Step 6: Final answer
    x = 162,014.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.