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Finding the Third Proportional to 93,677 and 143,645

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Solution

The third proportional to 93,677 and 143,645 is: 220,266.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,677 : 143,645 = 143,645 : x
  2. Step 2: Convert to fraction form
    93,677/143,645 = 143,645/x
  3. Step 3: Cross multiply
    93,677x = 143,645 × 143,645
  4. Step 4: Simplify right side
    93,677x = 20,633,886,025
  5. Step 5: Solve for x
    x = 20,633,886,025/93,677
  6. Step 6: Final answer
    x = 220,266.30

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Why These Related Problems?

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