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Finding the Third Proportional to 56,202.75 and 84,675.38

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Solution

The third proportional to 56,202.75 and 84,675.38 is: 127,572.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,202.75 : 84,675.38 = 84,675.38 : x
  2. Step 2: Convert to fraction form
    56,202.75/84,675.38 = 84,675.38/x
  3. Step 3: Cross multiply
    56,202.75x = 84,675.38 × 84,675.38
  4. Step 4: Simplify right side
    56,202.75x = 7,169,919,131.39
  5. Step 5: Solve for x
    x = 7,169,919,131.39/56,202.75
  6. Step 6: Final answer
    x = 127,572.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.