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Finding the Third Proportional to 54,714 and 89,334

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Solution

The third proportional to 54,714 and 89,334 is: 145,859.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,714 : 89,334 = 89,334 : x
  2. Step 2: Convert to fraction form
    54,714/89,334 = 89,334/x
  3. Step 3: Cross multiply
    54,714x = 89,334 × 89,334
  4. Step 4: Simplify right side
    54,714x = 7,980,563,556
  5. Step 5: Solve for x
    x = 7,980,563,556/54,714
  6. Step 6: Final answer
    x = 145,859.63

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.