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Finding the Third Proportional to 55,989.75 and 84,873

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Solution

The third proportional to 55,989.75 and 84,873 is: 128,656.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,989.75 : 84,873 = 84,873 : x
  2. Step 2: Convert to fraction form
    55,989.75/84,873 = 84,873/x
  3. Step 3: Cross multiply
    55,989.75x = 84,873 × 84,873
  4. Step 4: Simplify right side
    55,989.75x = 7,203,426,129
  5. Step 5: Solve for x
    x = 7,203,426,129/55,989.75
  6. Step 6: Final answer
    x = 128,656.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.