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Finding the Third Proportional to 127,017 and 284,106

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Solution

The third proportional to 127,017 and 284,106 is: 635,475.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,017 : 284,106 = 284,106 : x
  2. Step 2: Convert to fraction form
    127,017/284,106 = 284,106/x
  3. Step 3: Cross multiply
    127,017x = 284,106 × 284,106
  4. Step 4: Simplify right side
    127,017x = 80,716,219,236
  5. Step 5: Solve for x
    x = 80,716,219,236/127,017
  6. Step 6: Final answer
    x = 635,475.72

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.