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Finding the Third Proportional to 55,662.50 and 83,494

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Solution

The third proportional to 55,662.50 and 83,494 is: 125,241.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,662.50 : 83,494 = 83,494 : x
  2. Step 2: Convert to fraction form
    55,662.50/83,494 = 83,494/x
  3. Step 3: Cross multiply
    55,662.50x = 83,494 × 83,494
  4. Step 4: Simplify right side
    55,662.50x = 6,971,248,036
  5. Step 5: Solve for x
    x = 6,971,248,036/55,662.50
  6. Step 6: Final answer
    x = 125,241.38

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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.