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Finding the Third Proportional to 57,742.88 and 91,671.75

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Solution

The third proportional to 57,742.88 and 91,671.75 is: 145,536.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,742.88 : 91,671.75 = 91,671.75 : x
  2. Step 2: Convert to fraction form
    57,742.88/91,671.75 = 91,671.75/x
  3. Step 3: Cross multiply
    57,742.88x = 91,671.75 × 91,671.75
  4. Step 4: Simplify right side
    57,742.88x = 8,403,709,748.06
  5. Step 5: Solve for x
    x = 8,403,709,748.06/57,742.88
  6. Step 6: Final answer
    x = 145,536.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.