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Finding the Third Proportional to 93,682 and 144,411

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Solution

The third proportional to 93,682 and 144,411 is: 222,609.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,682 : 144,411 = 144,411 : x
  2. Step 2: Convert to fraction form
    93,682/144,411 = 144,411/x
  3. Step 3: Cross multiply
    93,682x = 144,411 × 144,411
  4. Step 4: Simplify right side
    93,682x = 20,854,536,921
  5. Step 5: Solve for x
    x = 20,854,536,921/93,682
  6. Step 6: Final answer
    x = 222,609.86

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Why These Related Problems?

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