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Finding the Third Proportional to 55,984 and 84,516

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Solution

The third proportional to 55,984 and 84,516 is: 127,589.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,984 : 84,516 = 84,516 : x
  2. Step 2: Convert to fraction form
    55,984/84,516 = 84,516/x
  3. Step 3: Cross multiply
    55,984x = 84,516 × 84,516
  4. Step 4: Simplify right side
    55,984x = 7,142,954,256
  5. Step 5: Solve for x
    x = 7,142,954,256/55,984
  6. Step 6: Final answer
    x = 127,589.21

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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.