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Finding the Third Proportional to 65,754 and 94,021.31

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Solution

The third proportional to 65,754 and 94,021.31 is: 134,440.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,754 : 94,021.31 = 94,021.31 : x
  2. Step 2: Convert to fraction form
    65,754/94,021.31 = 94,021.31/x
  3. Step 3: Cross multiply
    65,754x = 94,021.31 × 94,021.31
  4. Step 4: Simplify right side
    65,754x = 8,840,007,204.22
  5. Step 5: Solve for x
    x = 8,840,007,204.22/65,754
  6. Step 6: Final answer
    x = 134,440.60

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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.