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Finding the Third Proportional to 35,770 and 76,160

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Solution

The third proportional to 35,770 and 76,160 is: 162,156.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,770 : 76,160 = 76,160 : x
  2. Step 2: Convert to fraction form
    35,770/76,160 = 76,160/x
  3. Step 3: Cross multiply
    35,770x = 76,160 × 76,160
  4. Step 4: Simplify right side
    35,770x = 5,800,345,600
  5. Step 5: Solve for x
    x = 5,800,345,600/35,770
  6. Step 6: Final answer
    x = 162,156.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.