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Finding the Third Proportional to 55,594 and 85,994

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Solution

The third proportional to 55,594 and 85,994 is: 133,017.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,594 : 85,994 = 85,994 : x
  2. Step 2: Convert to fraction form
    55,594/85,994 = 85,994/x
  3. Step 3: Cross multiply
    55,594x = 85,994 × 85,994
  4. Step 4: Simplify right side
    55,594x = 7,394,968,036
  5. Step 5: Solve for x
    x = 7,394,968,036/55,594
  6. Step 6: Final answer
    x = 133,017.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.