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Finding the Third Proportional to 56,416 and 119,168

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Solution

The third proportional to 56,416 and 119,168 is: 251,719.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,416 : 119,168 = 119,168 : x
  2. Step 2: Convert to fraction form
    56,416/119,168 = 119,168/x
  3. Step 3: Cross multiply
    56,416x = 119,168 × 119,168
  4. Step 4: Simplify right side
    56,416x = 14,201,012,224
  5. Step 5: Solve for x
    x = 14,201,012,224/56,416
  6. Step 6: Final answer
    x = 251,719.59

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.