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Finding the Third Proportional to 127,964 and 264,124

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Solution

The third proportional to 127,964 and 264,124 is: 545,164.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,964 : 264,124 = 264,124 : x
  2. Step 2: Convert to fraction form
    127,964/264,124 = 264,124/x
  3. Step 3: Cross multiply
    127,964x = 264,124 × 264,124
  4. Step 4: Simplify right side
    127,964x = 69,761,487,376
  5. Step 5: Solve for x
    x = 69,761,487,376/127,964
  6. Step 6: Final answer
    x = 545,164.95

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.