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Finding the Third Proportional to 56,362 and 133,289

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Solution

The third proportional to 56,362 and 133,289 is: 315,211.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,362 : 133,289 = 133,289 : x
  2. Step 2: Convert to fraction form
    56,362/133,289 = 133,289/x
  3. Step 3: Cross multiply
    56,362x = 133,289 × 133,289
  4. Step 4: Simplify right side
    56,362x = 17,765,957,521
  5. Step 5: Solve for x
    x = 17,765,957,521/56,362
  6. Step 6: Final answer
    x = 315,211.62

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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.