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Finding the Third Proportional to 76,683.50 and 117,701.50

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Solution

The third proportional to 76,683.50 and 117,701.50 is: 180,660.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,683.50 : 117,701.50 = 117,701.50 : x
  2. Step 2: Convert to fraction form
    76,683.50/117,701.50 = 117,701.50/x
  3. Step 3: Cross multiply
    76,683.50x = 117,701.50 × 117,701.50
  4. Step 4: Simplify right side
    76,683.50x = 13,853,643,102.25
  5. Step 5: Solve for x
    x = 13,853,643,102.25/76,683.50
  6. Step 6: Final answer
    x = 180,660.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.