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Finding the Third Proportional to 57,560 and 124,724

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Solution

The third proportional to 57,560 and 124,724 is: 270,258.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,560 : 124,724 = 124,724 : x
  2. Step 2: Convert to fraction form
    57,560/124,724 = 124,724/x
  3. Step 3: Cross multiply
    57,560x = 124,724 × 124,724
  4. Step 4: Simplify right side
    57,560x = 15,556,076,176
  5. Step 5: Solve for x
    x = 15,556,076,176/57,560
  6. Step 6: Final answer
    x = 270,258.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.