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Finding the Third Proportional to 62,528 and 127,369

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Solution

The third proportional to 62,528 and 127,369 is: 259,449.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,528 : 127,369 = 127,369 : x
  2. Step 2: Convert to fraction form
    62,528/127,369 = 127,369/x
  3. Step 3: Cross multiply
    62,528x = 127,369 × 127,369
  4. Step 4: Simplify right side
    62,528x = 16,222,862,161
  5. Step 5: Solve for x
    x = 16,222,862,161/62,528
  6. Step 6: Final answer
    x = 259,449.56

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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.