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Finding the Third Proportional to 61,166 and 128,974

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Solution

The third proportional to 61,166 and 128,974 is: 271,953.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,166 : 128,974 = 128,974 : x
  2. Step 2: Convert to fraction form
    61,166/128,974 = 128,974/x
  3. Step 3: Cross multiply
    61,166x = 128,974 × 128,974
  4. Step 4: Simplify right side
    61,166x = 16,634,292,676
  5. Step 5: Solve for x
    x = 16,634,292,676/61,166
  6. Step 6: Final answer
    x = 271,953.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.