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Finding the Third Proportional to 56,033 and 121,399

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Solution

The third proportional to 56,033 and 121,399 is: 263,018.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,033 : 121,399 = 121,399 : x
  2. Step 2: Convert to fraction form
    56,033/121,399 = 121,399/x
  3. Step 3: Cross multiply
    56,033x = 121,399 × 121,399
  4. Step 4: Simplify right side
    56,033x = 14,737,717,201
  5. Step 5: Solve for x
    x = 14,737,717,201/56,033
  6. Step 6: Final answer
    x = 263,018.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.