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Finding the Third Proportional to 42,146 and 61,662

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Solution

The third proportional to 42,146 and 61,662 is: 90,215.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,146 : 61,662 = 61,662 : x
  2. Step 2: Convert to fraction form
    42,146/61,662 = 61,662/x
  3. Step 3: Cross multiply
    42,146x = 61,662 × 61,662
  4. Step 4: Simplify right side
    42,146x = 3,802,202,244
  5. Step 5: Solve for x
    x = 3,802,202,244/42,146
  6. Step 6: Final answer
    x = 90,215.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.