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Finding the Third Proportional to 103,622 and 152,031

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Solution

The third proportional to 103,622 and 152,031 is: 223,055.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,622 : 152,031 = 152,031 : x
  2. Step 2: Convert to fraction form
    103,622/152,031 = 152,031/x
  3. Step 3: Cross multiply
    103,622x = 152,031 × 152,031
  4. Step 4: Simplify right side
    103,622x = 23,113,424,961
  5. Step 5: Solve for x
    x = 23,113,424,961/103,622
  6. Step 6: Final answer
    x = 223,055.19

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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.