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Finding the Third Proportional to 94,744.13 and 138,420

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Solution

The third proportional to 94,744.13 and 138,420 is: 202,229.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,744.13 : 138,420 = 138,420 : x
  2. Step 2: Convert to fraction form
    94,744.13/138,420 = 138,420/x
  3. Step 3: Cross multiply
    94,744.13x = 138,420 × 138,420
  4. Step 4: Simplify right side
    94,744.13x = 19,160,096,400
  5. Step 5: Solve for x
    x = 19,160,096,400/94,744.13
  6. Step 6: Final answer
    x = 202,229.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.