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Finding the Third Proportional to 129,166.13 and 189,921.75

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Solution

The third proportional to 129,166.13 and 189,921.75 is: 279,254.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,166.13 : 189,921.75 = 189,921.75 : x
  2. Step 2: Convert to fraction form
    129,166.13/189,921.75 = 189,921.75/x
  3. Step 3: Cross multiply
    129,166.13x = 189,921.75 × 189,921.75
  4. Step 4: Simplify right side
    129,166.13x = 36,070,271,123.06
  5. Step 5: Solve for x
    x = 36,070,271,123.06/129,166.13
  6. Step 6: Final answer
    x = 279,254.88

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.