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Finding the Third Proportional to 73,357.50 and 114,419.50

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Solution

The third proportional to 73,357.50 and 114,419.50 is: 178,466.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,357.50 : 114,419.50 = 114,419.50 : x
  2. Step 2: Convert to fraction form
    73,357.50/114,419.50 = 114,419.50/x
  3. Step 3: Cross multiply
    73,357.50x = 114,419.50 × 114,419.50
  4. Step 4: Simplify right side
    73,357.50x = 13,091,821,980.25
  5. Step 5: Solve for x
    x = 13,091,821,980.25/73,357.50
  6. Step 6: Final answer
    x = 178,466.03

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.