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Finding the Third Proportional to 60,341 and 132,553

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Solution

The third proportional to 60,341 and 132,553 is: 291,183.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,341 : 132,553 = 132,553 : x
  2. Step 2: Convert to fraction form
    60,341/132,553 = 132,553/x
  3. Step 3: Cross multiply
    60,341x = 132,553 × 132,553
  4. Step 4: Simplify right side
    60,341x = 17,570,297,809
  5. Step 5: Solve for x
    x = 17,570,297,809/60,341
  6. Step 6: Final answer
    x = 291,183.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.