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Finding the Third Proportional to 55,972 and 84,497

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Solution

The third proportional to 55,972 and 84,497 is: 127,559.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,972 : 84,497 = 84,497 : x
  2. Step 2: Convert to fraction form
    55,972/84,497 = 84,497/x
  3. Step 3: Cross multiply
    55,972x = 84,497 × 84,497
  4. Step 4: Simplify right side
    55,972x = 7,139,743,009
  5. Step 5: Solve for x
    x = 7,139,743,009/55,972
  6. Step 6: Final answer
    x = 127,559.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.