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Finding the Third Proportional to 94,530.75 and 141,796.13

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Solution

The third proportional to 94,530.75 and 141,796.13 is: 212,694.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,530.75 : 141,796.13 = 141,796.13 : x
  2. Step 2: Convert to fraction form
    94,530.75/141,796.13 = 141,796.13/x
  3. Step 3: Cross multiply
    94,530.75x = 141,796.13 × 141,796.13
  4. Step 4: Simplify right side
    94,530.75x = 20,106,141,065.02
  5. Step 5: Solve for x
    x = 20,106,141,065.02/94,530.75
  6. Step 6: Final answer
    x = 212,694.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.