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Finding the Third Proportional to 65,484.75 and 107,043.75

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Solution

The third proportional to 65,484.75 and 107,043.75 is: 174,977.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,484.75 : 107,043.75 = 107,043.75 : x
  2. Step 2: Convert to fraction form
    65,484.75/107,043.75 = 107,043.75/x
  3. Step 3: Cross multiply
    65,484.75x = 107,043.75 × 107,043.75
  4. Step 4: Simplify right side
    65,484.75x = 11,458,364,414.06
  5. Step 5: Solve for x
    x = 11,458,364,414.06/65,484.75
  6. Step 6: Final answer
    x = 174,977.60

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.