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Finding the Third Proportional to 55,262 and 83,355

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Solution

The third proportional to 55,262 and 83,355 is: 125,729.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,262 : 83,355 = 83,355 : x
  2. Step 2: Convert to fraction form
    55,262/83,355 = 83,355/x
  3. Step 3: Cross multiply
    55,262x = 83,355 × 83,355
  4. Step 4: Simplify right side
    55,262x = 6,948,056,025
  5. Step 5: Solve for x
    x = 6,948,056,025/55,262
  6. Step 6: Final answer
    x = 125,729.36

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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.