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Finding the Third Proportional to 56,416 and 133,660

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Solution

The third proportional to 56,416 and 133,660 is: 316,665.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,416 : 133,660 = 133,660 : x
  2. Step 2: Convert to fraction form
    56,416/133,660 = 133,660/x
  3. Step 3: Cross multiply
    56,416x = 133,660 × 133,660
  4. Step 4: Simplify right side
    56,416x = 17,864,995,600
  5. Step 5: Solve for x
    x = 17,864,995,600/56,416
  6. Step 6: Final answer
    x = 316,665.41

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.