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Finding the Third Proportional to 71,943.75 and 152,654.63

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Solution

The third proportional to 71,943.75 and 152,654.63 is: 323,911.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,943.75 : 152,654.63 = 152,654.63 : x
  2. Step 2: Convert to fraction form
    71,943.75/152,654.63 = 152,654.63/x
  3. Step 3: Cross multiply
    71,943.75x = 152,654.63 × 152,654.63
  4. Step 4: Simplify right side
    71,943.75x = 23,303,434,533.89
  5. Step 5: Solve for x
    x = 23,303,434,533.89/71,943.75
  6. Step 6: Final answer
    x = 323,911.87

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.