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Finding the Third Proportional to 61,429 and 133,974

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Solution

The third proportional to 61,429 and 133,974 is: 292,191.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,429 : 133,974 = 133,974 : x
  2. Step 2: Convert to fraction form
    61,429/133,974 = 133,974/x
  3. Step 3: Cross multiply
    61,429x = 133,974 × 133,974
  4. Step 4: Simplify right side
    61,429x = 17,949,032,676
  5. Step 5: Solve for x
    x = 17,949,032,676/61,429
  6. Step 6: Final answer
    x = 292,191.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.