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Finding the Third Proportional to 128,763 and 196,972.50

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Solution

The third proportional to 128,763 and 196,972.50 is: 301,314.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,763 : 196,972.50 = 196,972.50 : x
  2. Step 2: Convert to fraction form
    128,763/196,972.50 = 196,972.50/x
  3. Step 3: Cross multiply
    128,763x = 196,972.50 × 196,972.50
  4. Step 4: Simplify right side
    128,763x = 38,798,165,756.25
  5. Step 5: Solve for x
    x = 38,798,165,756.25/128,763
  6. Step 6: Final answer
    x = 301,314.55

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