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Finding the Third Proportional to 66,431.25 and 100,877.06

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Solution

The third proportional to 66,431.25 and 100,877.06 is: 153,183.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,431.25 : 100,877.06 = 100,877.06 : x
  2. Step 2: Convert to fraction form
    66,431.25/100,877.06 = 100,877.06/x
  3. Step 3: Cross multiply
    66,431.25x = 100,877.06 × 100,877.06
  4. Step 4: Simplify right side
    66,431.25x = 10,176,181,738.63
  5. Step 5: Solve for x
    x = 10,176,181,738.63/66,431.25
  6. Step 6: Final answer
    x = 153,183.66

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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.