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Finding the Third Proportional to 76,747.50 and 157,297.50

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Solution

The third proportional to 76,747.50 and 157,297.50 is: 322,388.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,747.50 : 157,297.50 = 157,297.50 : x
  2. Step 2: Convert to fraction form
    76,747.50/157,297.50 = 157,297.50/x
  3. Step 3: Cross multiply
    76,747.50x = 157,297.50 × 157,297.50
  4. Step 4: Simplify right side
    76,747.50x = 24,742,503,506.25
  5. Step 5: Solve for x
    x = 24,742,503,506.25/76,747.50
  6. Step 6: Final answer
    x = 322,388.40

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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.