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Finding the Third Proportional to 132,017.50 and 283,937

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Solution

The third proportional to 132,017.50 and 283,937 is: 610,678.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,017.50 : 283,937 = 283,937 : x
  2. Step 2: Convert to fraction form
    132,017.50/283,937 = 283,937/x
  3. Step 3: Cross multiply
    132,017.50x = 283,937 × 283,937
  4. Step 4: Simplify right side
    132,017.50x = 80,620,219,969
  5. Step 5: Solve for x
    x = 80,620,219,969/132,017.50
  6. Step 6: Final answer
    x = 610,678.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.