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Finding the Third Proportional to 70,051.25 and 152,010

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Solution

The third proportional to 70,051.25 and 152,010 is: 329,859.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,051.25 : 152,010 = 152,010 : x
  2. Step 2: Convert to fraction form
    70,051.25/152,010 = 152,010/x
  3. Step 3: Cross multiply
    70,051.25x = 152,010 × 152,010
  4. Step 4: Simplify right side
    70,051.25x = 23,107,040,100
  5. Step 5: Solve for x
    x = 23,107,040,100/70,051.25
  6. Step 6: Final answer
    x = 329,859.07

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.