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Finding the Third Proportional to 58,102 and 127,280

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Solution

The third proportional to 58,102 and 127,280 is: 278,823.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,102 : 127,280 = 127,280 : x
  2. Step 2: Convert to fraction form
    58,102/127,280 = 127,280/x
  3. Step 3: Cross multiply
    58,102x = 127,280 × 127,280
  4. Step 4: Simplify right side
    58,102x = 16,200,198,400
  5. Step 5: Solve for x
    x = 16,200,198,400/58,102
  6. Step 6: Final answer
    x = 278,823.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.