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Finding the Third Proportional to 59,530 and 87,351

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Solution

The third proportional to 59,530 and 87,351 is: 128,173.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,530 : 87,351 = 87,351 : x
  2. Step 2: Convert to fraction form
    59,530/87,351 = 87,351/x
  3. Step 3: Cross multiply
    59,530x = 87,351 × 87,351
  4. Step 4: Simplify right side
    59,530x = 7,630,197,201
  5. Step 5: Solve for x
    x = 7,630,197,201/59,530
  6. Step 6: Final answer
    x = 128,173.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.