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Finding the Third Proportional to 76,873.50 and 157,574.25

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Solution

The third proportional to 76,873.50 and 157,574.25 is: 322,993.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,873.50 : 157,574.25 = 157,574.25 : x
  2. Step 2: Convert to fraction form
    76,873.50/157,574.25 = 157,574.25/x
  3. Step 3: Cross multiply
    76,873.50x = 157,574.25 × 157,574.25
  4. Step 4: Simplify right side
    76,873.50x = 24,829,644,263.06
  5. Step 5: Solve for x
    x = 24,829,644,263.06/76,873.50
  6. Step 6: Final answer
    x = 322,993.54

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.