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Finding the Third Proportional to 55,597 and 81,925

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Solution

The third proportional to 55,597 and 81,925 is: 120,720.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,597 : 81,925 = 81,925 : x
  2. Step 2: Convert to fraction form
    55,597/81,925 = 81,925/x
  3. Step 3: Cross multiply
    55,597x = 81,925 × 81,925
  4. Step 4: Simplify right side
    55,597x = 6,711,705,625
  5. Step 5: Solve for x
    x = 6,711,705,625/55,597
  6. Step 6: Final answer
    x = 120,720.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.