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Finding the Third Proportional to 76,276.88 and 157,857.75

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Solution

The third proportional to 76,276.88 and 157,857.75 is: 326,692.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,276.88 : 157,857.75 = 157,857.75 : x
  2. Step 2: Convert to fraction form
    76,276.88/157,857.75 = 157,857.75/x
  3. Step 3: Cross multiply
    76,276.88x = 157,857.75 × 157,857.75
  4. Step 4: Simplify right side
    76,276.88x = 24,919,069,235.06
  5. Step 5: Solve for x
    x = 24,919,069,235.06/76,276.88
  6. Step 6: Final answer
    x = 326,692.32

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.