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Finding the Third Proportional to 61,405 and 94,821

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Solution

The third proportional to 61,405 and 94,821 is: 146,421.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,405 : 94,821 = 94,821 : x
  2. Step 2: Convert to fraction form
    61,405/94,821 = 94,821/x
  3. Step 3: Cross multiply
    61,405x = 94,821 × 94,821
  4. Step 4: Simplify right side
    61,405x = 8,991,022,041
  5. Step 5: Solve for x
    x = 8,991,022,041/61,405
  6. Step 6: Final answer
    x = 146,421.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.