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Finding the Third Proportional to 62,560 and 127,672

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Solution

The third proportional to 62,560 and 127,672 is: 260,552.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,560 : 127,672 = 127,672 : x
  2. Step 2: Convert to fraction form
    62,560/127,672 = 127,672/x
  3. Step 3: Cross multiply
    62,560x = 127,672 × 127,672
  4. Step 4: Simplify right side
    62,560x = 16,300,139,584
  5. Step 5: Solve for x
    x = 16,300,139,584/62,560
  6. Step 6: Final answer
    x = 260,552.10

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.