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Finding the Third Proportional to 61,722 and 95,146

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Solution

The third proportional to 61,722 and 95,146 is: 146,669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,722 : 95,146 = 95,146 : x
  2. Step 2: Convert to fraction form
    61,722/95,146 = 95,146/x
  3. Step 3: Cross multiply
    61,722x = 95,146 × 95,146
  4. Step 4: Simplify right side
    61,722x = 9,052,761,316
  5. Step 5: Solve for x
    x = 9,052,761,316/61,722
  6. Step 6: Final answer
    x = 146,669.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.