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Finding the Third Proportional to 57,784.50 and 88,695

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Solution

The third proportional to 57,784.50 and 88,695 is: 136,140.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,784.50 : 88,695 = 88,695 : x
  2. Step 2: Convert to fraction form
    57,784.50/88,695 = 88,695/x
  3. Step 3: Cross multiply
    57,784.50x = 88,695 × 88,695
  4. Step 4: Simplify right side
    57,784.50x = 7,866,803,025
  5. Step 5: Solve for x
    x = 7,866,803,025/57,784.50
  6. Step 6: Final answer
    x = 136,140.37

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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.