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Finding the Third Proportional to 117,688.50 and 174,246.75

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Solution

The third proportional to 117,688.50 and 174,246.75 is: 257,985.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,688.50 : 174,246.75 = 174,246.75 : x
  2. Step 2: Convert to fraction form
    117,688.50/174,246.75 = 174,246.75/x
  3. Step 3: Cross multiply
    117,688.50x = 174,246.75 × 174,246.75
  4. Step 4: Simplify right side
    117,688.50x = 30,361,929,885.56
  5. Step 5: Solve for x
    x = 30,361,929,885.56/117,688.50
  6. Step 6: Final answer
    x = 257,985.53

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.