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Finding the Third Proportional to 65,829 and 144,202.50

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Solution

The third proportional to 65,829 and 144,202.50 is: 315,884.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,829 : 144,202.50 = 144,202.50 : x
  2. Step 2: Convert to fraction form
    65,829/144,202.50 = 144,202.50/x
  3. Step 3: Cross multiply
    65,829x = 144,202.50 × 144,202.50
  4. Step 4: Simplify right side
    65,829x = 20,794,361,006.25
  5. Step 5: Solve for x
    x = 20,794,361,006.25/65,829
  6. Step 6: Final answer
    x = 315,884.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.