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Finding the Third Proportional to 74,193.50 and 115,055.50

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Solution

The third proportional to 74,193.50 and 115,055.50 is: 178,422.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,193.50 : 115,055.50 = 115,055.50 : x
  2. Step 2: Convert to fraction form
    74,193.50/115,055.50 = 115,055.50/x
  3. Step 3: Cross multiply
    74,193.50x = 115,055.50 × 115,055.50
  4. Step 4: Simplify right side
    74,193.50x = 13,237,768,080.25
  5. Step 5: Solve for x
    x = 13,237,768,080.25/74,193.50
  6. Step 6: Final answer
    x = 178,422.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.