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Finding the Third Proportional to 55,356 and 88,125

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Solution

The third proportional to 55,356 and 88,125 is: 140,292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,356 : 88,125 = 88,125 : x
  2. Step 2: Convert to fraction form
    55,356/88,125 = 88,125/x
  3. Step 3: Cross multiply
    55,356x = 88,125 × 88,125
  4. Step 4: Simplify right side
    55,356x = 7,766,015,625
  5. Step 5: Solve for x
    x = 7,766,015,625/55,356
  6. Step 6: Final answer
    x = 140,292.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.