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Finding the Third Proportional to 55,774.75 and 84,969

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Solution

The third proportional to 55,774.75 and 84,969 is: 129,444.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,774.75 : 84,969 = 84,969 : x
  2. Step 2: Convert to fraction form
    55,774.75/84,969 = 84,969/x
  3. Step 3: Cross multiply
    55,774.75x = 84,969 × 84,969
  4. Step 4: Simplify right side
    55,774.75x = 7,219,730,961
  5. Step 5: Solve for x
    x = 7,219,730,961/55,774.75
  6. Step 6: Final answer
    x = 129,444.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.