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Finding the Third Proportional to 75,472 and 162,796

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Solution

The third proportional to 75,472 and 162,796 is: 351,157.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,472 : 162,796 = 162,796 : x
  2. Step 2: Convert to fraction form
    75,472/162,796 = 162,796/x
  3. Step 3: Cross multiply
    75,472x = 162,796 × 162,796
  4. Step 4: Simplify right side
    75,472x = 26,502,537,616
  5. Step 5: Solve for x
    x = 26,502,537,616/75,472
  6. Step 6: Final answer
    x = 351,157.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.