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Finding the Third Proportional to 85,043 and 185,391

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Solution

The third proportional to 85,043 and 185,391 is: 404,146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,043 : 185,391 = 185,391 : x
  2. Step 2: Convert to fraction form
    85,043/185,391 = 185,391/x
  3. Step 3: Cross multiply
    85,043x = 185,391 × 185,391
  4. Step 4: Simplify right side
    85,043x = 34,369,822,881
  5. Step 5: Solve for x
    x = 34,369,822,881/85,043
  6. Step 6: Final answer
    x = 404,146.41

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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.