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Finding the Third Proportional to 59,289.75 and 128,421

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Solution

The third proportional to 59,289.75 and 128,421 is: 278,158.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,289.75 : 128,421 = 128,421 : x
  2. Step 2: Convert to fraction form
    59,289.75/128,421 = 128,421/x
  3. Step 3: Cross multiply
    59,289.75x = 128,421 × 128,421
  4. Step 4: Simplify right side
    59,289.75x = 16,491,953,241
  5. Step 5: Solve for x
    x = 16,491,953,241/59,289.75
  6. Step 6: Final answer
    x = 278,158.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.