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Finding the Third Proportional to 127,176 and 276,465

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Solution

The third proportional to 127,176 and 276,465 is: 601,000.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,176 : 276,465 = 276,465 : x
  2. Step 2: Convert to fraction form
    127,176/276,465 = 276,465/x
  3. Step 3: Cross multiply
    127,176x = 276,465 × 276,465
  4. Step 4: Simplify right side
    127,176x = 76,432,896,225
  5. Step 5: Solve for x
    x = 76,432,896,225/127,176
  6. Step 6: Final answer
    x = 601,000.95

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Why These Related Problems?

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