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Finding the Third Proportional to 58,503.50 and 114,090.50

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Solution

The third proportional to 58,503.50 and 114,090.50 is: 222,493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,503.50 : 114,090.50 = 114,090.50 : x
  2. Step 2: Convert to fraction form
    58,503.50/114,090.50 = 114,090.50/x
  3. Step 3: Cross multiply
    58,503.50x = 114,090.50 × 114,090.50
  4. Step 4: Simplify right side
    58,503.50x = 13,016,642,190.25
  5. Step 5: Solve for x
    x = 13,016,642,190.25/58,503.50
  6. Step 6: Final answer
    x = 222,493.39

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.