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Finding the Third Proportional to 66,141 and 94,250.25

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Solution

The third proportional to 66,141 and 94,250.25 is: 134,305.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,141 : 94,250.25 = 94,250.25 : x
  2. Step 2: Convert to fraction form
    66,141/94,250.25 = 94,250.25/x
  3. Step 3: Cross multiply
    66,141x = 94,250.25 × 94,250.25
  4. Step 4: Simplify right side
    66,141x = 8,883,109,625.06
  5. Step 5: Solve for x
    x = 8,883,109,625.06/66,141
  6. Step 6: Final answer
    x = 134,305.64

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.