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Finding the Third Proportional to 85,401 and 127,706

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Solution

The third proportional to 85,401 and 127,706 is: 190,967.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,401 : 127,706 = 127,706 : x
  2. Step 2: Convert to fraction form
    85,401/127,706 = 127,706/x
  3. Step 3: Cross multiply
    85,401x = 127,706 × 127,706
  4. Step 4: Simplify right side
    85,401x = 16,308,822,436
  5. Step 5: Solve for x
    x = 16,308,822,436/85,401
  6. Step 6: Final answer
    x = 190,967.58

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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.