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Finding the Third Proportional to 75,672 and 162,892

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Solution

The third proportional to 75,672 and 162,892 is: 350,642.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,672 : 162,892 = 162,892 : x
  2. Step 2: Convert to fraction form
    75,672/162,892 = 162,892/x
  3. Step 3: Cross multiply
    75,672x = 162,892 × 162,892
  4. Step 4: Simplify right side
    75,672x = 26,533,803,664
  5. Step 5: Solve for x
    x = 26,533,803,664/75,672
  6. Step 6: Final answer
    x = 350,642.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.