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Finding the Third Proportional to 85,263 and 185,461

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Solution

The third proportional to 85,263 and 185,461 is: 403,408.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,263 : 185,461 = 185,461 : x
  2. Step 2: Convert to fraction form
    85,263/185,461 = 185,461/x
  3. Step 3: Cross multiply
    85,263x = 185,461 × 185,461
  4. Step 4: Simplify right side
    85,263x = 34,395,782,521
  5. Step 5: Solve for x
    x = 34,395,782,521/85,263
  6. Step 6: Final answer
    x = 403,408.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.