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Finding the Third Proportional to 70,371 and 109,201

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Solution

The third proportional to 70,371 and 109,201 is: 169,457.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,371 : 109,201 = 109,201 : x
  2. Step 2: Convert to fraction form
    70,371/109,201 = 109,201/x
  3. Step 3: Cross multiply
    70,371x = 109,201 × 109,201
  4. Step 4: Simplify right side
    70,371x = 11,924,858,401
  5. Step 5: Solve for x
    x = 11,924,858,401/70,371
  6. Step 6: Final answer
    x = 169,457.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.