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Finding the Third Proportional to 65,562.75 and 140,683.50

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Solution

The third proportional to 65,562.75 and 140,683.50 is: 301,876.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,562.75 : 140,683.50 = 140,683.50 : x
  2. Step 2: Convert to fraction form
    65,562.75/140,683.50 = 140,683.50/x
  3. Step 3: Cross multiply
    65,562.75x = 140,683.50 × 140,683.50
  4. Step 4: Simplify right side
    65,562.75x = 19,791,847,172.25
  5. Step 5: Solve for x
    x = 19,791,847,172.25/65,562.75
  6. Step 6: Final answer
    x = 301,876.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.