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Finding the Third Proportional to 103,619 and 152,029

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Solution

The third proportional to 103,619 and 152,029 is: 223,055.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,619 : 152,029 = 152,029 : x
  2. Step 2: Convert to fraction form
    103,619/152,029 = 152,029/x
  3. Step 3: Cross multiply
    103,619x = 152,029 × 152,029
  4. Step 4: Simplify right side
    103,619x = 23,112,816,841
  5. Step 5: Solve for x
    x = 23,112,816,841/103,619
  6. Step 6: Final answer
    x = 223,055.78

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.