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Finding the Third Proportional to 43,346 and 90,128

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Solution

The third proportional to 43,346 and 90,128 is: 187,400.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,346 : 90,128 = 90,128 : x
  2. Step 2: Convert to fraction form
    43,346/90,128 = 90,128/x
  3. Step 3: Cross multiply
    43,346x = 90,128 × 90,128
  4. Step 4: Simplify right side
    43,346x = 8,123,056,384
  5. Step 5: Solve for x
    x = 8,123,056,384/43,346
  6. Step 6: Final answer
    x = 187,400.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.