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Finding the Third Proportional to 56,172 and 119,271

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Solution

The third proportional to 56,172 and 119,271 is: 253,250.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,172 : 119,271 = 119,271 : x
  2. Step 2: Convert to fraction form
    56,172/119,271 = 119,271/x
  3. Step 3: Cross multiply
    56,172x = 119,271 × 119,271
  4. Step 4: Simplify right side
    56,172x = 14,225,571,441
  5. Step 5: Solve for x
    x = 14,225,571,441/56,172
  6. Step 6: Final answer
    x = 253,250.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.