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Finding the Third Proportional to 93,338 and 143,463

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Solution

The third proportional to 93,338 and 143,463 is: 220,506.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,338 : 143,463 = 143,463 : x
  2. Step 2: Convert to fraction form
    93,338/143,463 = 143,463/x
  3. Step 3: Cross multiply
    93,338x = 143,463 × 143,463
  4. Step 4: Simplify right side
    93,338x = 20,581,632,369
  5. Step 5: Solve for x
    x = 20,581,632,369/93,338
  6. Step 6: Final answer
    x = 220,506.46

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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.