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Finding the Third Proportional to 79,056 and 169,224

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Solution

The third proportional to 79,056 and 169,224 is: 362,233.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,056 : 169,224 = 169,224 : x
  2. Step 2: Convert to fraction form
    79,056/169,224 = 169,224/x
  3. Step 3: Cross multiply
    79,056x = 169,224 × 169,224
  4. Step 4: Simplify right side
    79,056x = 28,636,762,176
  5. Step 5: Solve for x
    x = 28,636,762,176/79,056
  6. Step 6: Final answer
    x = 362,233.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.