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Finding the Third Proportional to 55,916 and 84,602

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Solution

The third proportional to 55,916 and 84,602 is: 128,004.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,916 : 84,602 = 84,602 : x
  2. Step 2: Convert to fraction form
    55,916/84,602 = 84,602/x
  3. Step 3: Cross multiply
    55,916x = 84,602 × 84,602
  4. Step 4: Simplify right side
    55,916x = 7,157,498,404
  5. Step 5: Solve for x
    x = 7,157,498,404/55,916
  6. Step 6: Final answer
    x = 128,004.48

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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.