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Finding the Third Proportional to 56,578 and 124,028

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Solution

The third proportional to 56,578 and 124,028 is: 271,889.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,578 : 124,028 = 124,028 : x
  2. Step 2: Convert to fraction form
    56,578/124,028 = 124,028/x
  3. Step 3: Cross multiply
    56,578x = 124,028 × 124,028
  4. Step 4: Simplify right side
    56,578x = 15,382,944,784
  5. Step 5: Solve for x
    x = 15,382,944,784/56,578
  6. Step 6: Final answer
    x = 271,889.16

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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.