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Finding the Third Proportional to 102,950.25 and 156,407.25

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Solution

The third proportional to 102,950.25 and 156,407.25 is: 237,621.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,950.25 : 156,407.25 = 156,407.25 : x
  2. Step 2: Convert to fraction form
    102,950.25/156,407.25 = 156,407.25/x
  3. Step 3: Cross multiply
    102,950.25x = 156,407.25 × 156,407.25
  4. Step 4: Simplify right side
    102,950.25x = 24,463,227,852.56
  5. Step 5: Solve for x
    x = 24,463,227,852.56/102,950.25
  6. Step 6: Final answer
    x = 237,621.84

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.