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Finding the Third Proportional to 72,007 and 148,610

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Solution

The third proportional to 72,007 and 148,610 is: 306,705.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,007 : 148,610 = 148,610 : x
  2. Step 2: Convert to fraction form
    72,007/148,610 = 148,610/x
  3. Step 3: Cross multiply
    72,007x = 148,610 × 148,610
  4. Step 4: Simplify right side
    72,007x = 22,084,932,100
  5. Step 5: Solve for x
    x = 22,084,932,100/72,007
  6. Step 6: Final answer
    x = 306,705.35

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.