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Finding the Third Proportional to 75,262 and 160,892

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Solution

The third proportional to 75,262 and 160,892 is: 343,948.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,262 : 160,892 = 160,892 : x
  2. Step 2: Convert to fraction form
    75,262/160,892 = 160,892/x
  3. Step 3: Cross multiply
    75,262x = 160,892 × 160,892
  4. Step 4: Simplify right side
    75,262x = 25,886,235,664
  5. Step 5: Solve for x
    x = 25,886,235,664/75,262
  6. Step 6: Final answer
    x = 343,948.28

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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.