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Finding the Third Proportional to 47,128 and 102,437

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Solution

The third proportional to 47,128 and 102,437 is: 222,656.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,128 : 102,437 = 102,437 : x
  2. Step 2: Convert to fraction form
    47,128/102,437 = 102,437/x
  3. Step 3: Cross multiply
    47,128x = 102,437 × 102,437
  4. Step 4: Simplify right side
    47,128x = 10,493,338,969
  5. Step 5: Solve for x
    x = 10,493,338,969/47,128
  6. Step 6: Final answer
    x = 222,656.15

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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.