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Finding the Third Proportional to 121,591.13 and 194,248.13

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Solution

The third proportional to 121,591.13 and 194,248.13 is: 310,321.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,591.13 : 194,248.13 = 194,248.13 : x
  2. Step 2: Convert to fraction form
    121,591.13/194,248.13 = 194,248.13/x
  3. Step 3: Cross multiply
    121,591.13x = 194,248.13 × 194,248.13
  4. Step 4: Simplify right side
    121,591.13x = 37,732,334,066.02
  5. Step 5: Solve for x
    x = 37,732,334,066.02/121,591.13
  6. Step 6: Final answer
    x = 310,321.45

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.