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Finding the Third Proportional to 55,380 and 83,053

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Solution

The third proportional to 55,380 and 83,053 is: 124,554.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,380 : 83,053 = 83,053 : x
  2. Step 2: Convert to fraction form
    55,380/83,053 = 83,053/x
  3. Step 3: Cross multiply
    55,380x = 83,053 × 83,053
  4. Step 4: Simplify right side
    55,380x = 6,897,800,809
  5. Step 5: Solve for x
    x = 6,897,800,809/55,380
  6. Step 6: Final answer
    x = 124,554.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.