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Finding the Third Proportional to 57,265.50 and 85,633.75

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Solution

The third proportional to 57,265.50 and 85,633.75 is: 128,055.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,265.50 : 85,633.75 = 85,633.75 : x
  2. Step 2: Convert to fraction form
    57,265.50/85,633.75 = 85,633.75/x
  3. Step 3: Cross multiply
    57,265.50x = 85,633.75 × 85,633.75
  4. Step 4: Simplify right side
    57,265.50x = 7,333,139,139.06
  5. Step 5: Solve for x
    x = 7,333,139,139.06/57,265.50
  6. Step 6: Final answer
    x = 128,055.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.