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Finding the Third Proportional to 93,671.25 and 142,853.25

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Solution

The third proportional to 93,671.25 and 142,853.25 is: 217,858.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,671.25 : 142,853.25 = 142,853.25 : x
  2. Step 2: Convert to fraction form
    93,671.25/142,853.25 = 142,853.25/x
  3. Step 3: Cross multiply
    93,671.25x = 142,853.25 × 142,853.25
  4. Step 4: Simplify right side
    93,671.25x = 20,407,051,035.56
  5. Step 5: Solve for x
    x = 20,407,051,035.56/93,671.25
  6. Step 6: Final answer
    x = 217,858.21

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.