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Finding the Third Proportional to 56,500 and 76,734.25

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Solution

The third proportional to 56,500 and 76,734.25 is: 104,214.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,500 : 76,734.25 = 76,734.25 : x
  2. Step 2: Convert to fraction form
    56,500/76,734.25 = 76,734.25/x
  3. Step 3: Cross multiply
    56,500x = 76,734.25 × 76,734.25
  4. Step 4: Simplify right side
    56,500x = 5,888,145,123.06
  5. Step 5: Solve for x
    x = 5,888,145,123.06/56,500
  6. Step 6: Final answer
    x = 104,214.96

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.