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Finding the Third Proportional to 93,804 and 140,543

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Solution

The third proportional to 93,804 and 140,543 is: 210,570.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,804 : 140,543 = 140,543 : x
  2. Step 2: Convert to fraction form
    93,804/140,543 = 140,543/x
  3. Step 3: Cross multiply
    93,804x = 140,543 × 140,543
  4. Step 4: Simplify right side
    93,804x = 19,752,334,849
  5. Step 5: Solve for x
    x = 19,752,334,849/93,804
  6. Step 6: Final answer
    x = 210,570.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.