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Finding the Third Proportional to 100,024.50 and 141,530

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Solution

The third proportional to 100,024.50 and 141,530 is: 200,258.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,024.50 : 141,530 = 141,530 : x
  2. Step 2: Convert to fraction form
    100,024.50/141,530 = 141,530/x
  3. Step 3: Cross multiply
    100,024.50x = 141,530 × 141,530
  4. Step 4: Simplify right side
    100,024.50x = 20,030,740,900
  5. Step 5: Solve for x
    x = 20,030,740,900/100,024.50
  6. Step 6: Final answer
    x = 200,258.35

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.