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Finding the Third Proportional to 56,316 and 122,364

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Solution

The third proportional to 56,316 and 122,364 is: 265,873.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,316 : 122,364 = 122,364 : x
  2. Step 2: Convert to fraction form
    56,316/122,364 = 122,364/x
  3. Step 3: Cross multiply
    56,316x = 122,364 × 122,364
  4. Step 4: Simplify right side
    56,316x = 14,972,948,496
  5. Step 5: Solve for x
    x = 14,972,948,496/56,316
  6. Step 6: Final answer
    x = 265,873.79

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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.