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Finding the Third Proportional to 118,734.50 and 174,962

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Solution

The third proportional to 118,734.50 and 174,962 is: 257,816.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,734.50 : 174,962 = 174,962 : x
  2. Step 2: Convert to fraction form
    118,734.50/174,962 = 174,962/x
  3. Step 3: Cross multiply
    118,734.50x = 174,962 × 174,962
  4. Step 4: Simplify right side
    118,734.50x = 30,611,701,444
  5. Step 5: Solve for x
    x = 30,611,701,444/118,734.50
  6. Step 6: Final answer
    x = 257,816.40

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.