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Finding the Third Proportional to 78,157.50 and 168,475.50

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Solution

The third proportional to 78,157.50 and 168,475.50 is: 363,164.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,157.50 : 168,475.50 = 168,475.50 : x
  2. Step 2: Convert to fraction form
    78,157.50/168,475.50 = 168,475.50/x
  3. Step 3: Cross multiply
    78,157.50x = 168,475.50 × 168,475.50
  4. Step 4: Simplify right side
    78,157.50x = 28,383,994,100.25
  5. Step 5: Solve for x
    x = 28,383,994,100.25/78,157.50
  6. Step 6: Final answer
    x = 363,164.05

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.