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Finding the Third Proportional to 66,072 and 94,187.25

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Solution

The third proportional to 66,072 and 94,187.25 is: 134,266.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,072 : 94,187.25 = 94,187.25 : x
  2. Step 2: Convert to fraction form
    66,072/94,187.25 = 94,187.25/x
  3. Step 3: Cross multiply
    66,072x = 94,187.25 × 94,187.25
  4. Step 4: Simplify right side
    66,072x = 8,871,238,062.56
  5. Step 5: Solve for x
    x = 8,871,238,062.56/66,072
  6. Step 6: Final answer
    x = 134,266.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.