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Finding the Third Proportional to 73,851.75 and 114,567.75

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Solution

The third proportional to 73,851.75 and 114,567.75 is: 177,731.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,851.75 : 114,567.75 = 114,567.75 : x
  2. Step 2: Convert to fraction form
    73,851.75/114,567.75 = 114,567.75/x
  3. Step 3: Cross multiply
    73,851.75x = 114,567.75 × 114,567.75
  4. Step 4: Simplify right side
    73,851.75x = 13,125,769,340.06
  5. Step 5: Solve for x
    x = 13,125,769,340.06/73,851.75
  6. Step 6: Final answer
    x = 177,731.32

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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.