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Finding the Third Proportional to 55,924 and 84,606

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Solution

The third proportional to 55,924 and 84,606 is: 127,998.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,924 : 84,606 = 84,606 : x
  2. Step 2: Convert to fraction form
    55,924/84,606 = 84,606/x
  3. Step 3: Cross multiply
    55,924x = 84,606 × 84,606
  4. Step 4: Simplify right side
    55,924x = 7,158,175,236
  5. Step 5: Solve for x
    x = 7,158,175,236/55,924
  6. Step 6: Final answer
    x = 127,998.27

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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.