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Finding the Third Proportional to 56,282 and 132,856

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Solution

The third proportional to 56,282 and 132,856 is: 313,612.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,282 : 132,856 = 132,856 : x
  2. Step 2: Convert to fraction form
    56,282/132,856 = 132,856/x
  3. Step 3: Cross multiply
    56,282x = 132,856 × 132,856
  4. Step 4: Simplify right side
    56,282x = 17,650,716,736
  5. Step 5: Solve for x
    x = 17,650,716,736/56,282
  6. Step 6: Final answer
    x = 313,612.11

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