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Finding the Third Proportional to 50,009 and 75,985.75

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Solution

The third proportional to 50,009 and 75,985.75 is: 115,455.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,009 : 75,985.75 = 75,985.75 : x
  2. Step 2: Convert to fraction form
    50,009/75,985.75 = 75,985.75/x
  3. Step 3: Cross multiply
    50,009x = 75,985.75 × 75,985.75
  4. Step 4: Simplify right side
    50,009x = 5,773,834,203.06
  5. Step 5: Solve for x
    x = 5,773,834,203.06/50,009
  6. Step 6: Final answer
    x = 115,455.90

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.