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Finding the Third Proportional to 56,759.63 and 85,139.44

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Solution

The third proportional to 56,759.63 and 85,139.44 is: 127,709.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,759.63 : 85,139.44 = 85,139.44 : x
  2. Step 2: Convert to fraction form
    56,759.63/85,139.44 = 85,139.44/x
  3. Step 3: Cross multiply
    56,759.63x = 85,139.44 × 85,139.44
  4. Step 4: Simplify right side
    56,759.63x = 7,248,723,817.82
  5. Step 5: Solve for x
    x = 7,248,723,817.82/56,759.63
  6. Step 6: Final answer
    x = 127,709.16

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Why These Related Problems?

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