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Finding the Third Proportional to 93,808 and 140,549

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Solution

The third proportional to 93,808 and 140,549 is: 210,579.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,808 : 140,549 = 140,549 : x
  2. Step 2: Convert to fraction form
    93,808/140,549 = 140,549/x
  3. Step 3: Cross multiply
    93,808x = 140,549 × 140,549
  4. Step 4: Simplify right side
    93,808x = 19,754,021,401
  5. Step 5: Solve for x
    x = 19,754,021,401/93,808
  6. Step 6: Final answer
    x = 210,579.28

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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.