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Finding the Third Proportional to 56,954 and 84,972

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Solution

The third proportional to 56,954 and 84,972 is: 126,773.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,954 : 84,972 = 84,972 : x
  2. Step 2: Convert to fraction form
    56,954/84,972 = 84,972/x
  3. Step 3: Cross multiply
    56,954x = 84,972 × 84,972
  4. Step 4: Simplify right side
    56,954x = 7,220,240,784
  5. Step 5: Solve for x
    x = 7,220,240,784/56,954
  6. Step 6: Final answer
    x = 126,773.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.