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Finding the Third Proportional to 30,180.75 and 71,020.50

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Solution

The third proportional to 30,180.75 and 71,020.50 is: 167,123.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,180.75 : 71,020.50 = 71,020.50 : x
  2. Step 2: Convert to fraction form
    30,180.75/71,020.50 = 71,020.50/x
  3. Step 3: Cross multiply
    30,180.75x = 71,020.50 × 71,020.50
  4. Step 4: Simplify right side
    30,180.75x = 5,043,911,420.25
  5. Step 5: Solve for x
    x = 5,043,911,420.25/30,180.75
  6. Step 6: Final answer
    x = 167,123.46

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.