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Finding the Third Proportional to 88,277.50 and 113,345

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Solution

The third proportional to 88,277.50 and 113,345 is: 145,530.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,277.50 : 113,345 = 113,345 : x
  2. Step 2: Convert to fraction form
    88,277.50/113,345 = 113,345/x
  3. Step 3: Cross multiply
    88,277.50x = 113,345 × 113,345
  4. Step 4: Simplify right side
    88,277.50x = 12,847,089,025
  5. Step 5: Solve for x
    x = 12,847,089,025/88,277.50
  6. Step 6: Final answer
    x = 145,530.73

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.