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Finding the Third Proportional to 56,273 and 132,839

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Solution

The third proportional to 56,273 and 132,839 is: 313,582.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,273 : 132,839 = 132,839 : x
  2. Step 2: Convert to fraction form
    56,273/132,839 = 132,839/x
  3. Step 3: Cross multiply
    56,273x = 132,839 × 132,839
  4. Step 4: Simplify right side
    56,273x = 17,646,199,921
  5. Step 5: Solve for x
    x = 17,646,199,921/56,273
  6. Step 6: Final answer
    x = 313,582.00

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.