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Finding the Third Proportional to 93,962 and 143,920

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Solution

The third proportional to 93,962 and 143,920 is: 220,439.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,962 : 143,920 = 143,920 : x
  2. Step 2: Convert to fraction form
    93,962/143,920 = 143,920/x
  3. Step 3: Cross multiply
    93,962x = 143,920 × 143,920
  4. Step 4: Simplify right side
    93,962x = 20,712,966,400
  5. Step 5: Solve for x
    x = 20,712,966,400/93,962
  6. Step 6: Final answer
    x = 220,439.82

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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.