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Finding the Third Proportional to 102,120.75 and 157,487.63

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Solution

The third proportional to 102,120.75 and 157,487.63 is: 242,872.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,120.75 : 157,487.63 = 157,487.63 : x
  2. Step 2: Convert to fraction form
    102,120.75/157,487.63 = 157,487.63/x
  3. Step 3: Cross multiply
    102,120.75x = 157,487.63 × 157,487.63
  4. Step 4: Simplify right side
    102,120.75x = 24,802,352,028.14
  5. Step 5: Solve for x
    x = 24,802,352,028.14/102,120.75
  6. Step 6: Final answer
    x = 242,872.80

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.