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Finding the Third Proportional to 85,395 and 185,559

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Solution

The third proportional to 85,395 and 185,559 is: 403,210.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,395 : 185,559 = 185,559 : x
  2. Step 2: Convert to fraction form
    85,395/185,559 = 185,559/x
  3. Step 3: Cross multiply
    85,395x = 185,559 × 185,559
  4. Step 4: Simplify right side
    85,395x = 34,432,142,481
  5. Step 5: Solve for x
    x = 34,432,142,481/85,395
  6. Step 6: Final answer
    x = 403,210.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.