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Finding the Third Proportional to 129,322.13 and 189,061.88

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Solution

The third proportional to 129,322.13 and 189,061.88 is: 276,398.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,322.13 : 189,061.88 = 189,061.88 : x
  2. Step 2: Convert to fraction form
    129,322.13/189,061.88 = 189,061.88/x
  3. Step 3: Cross multiply
    129,322.13x = 189,061.88 × 189,061.88
  4. Step 4: Simplify right side
    129,322.13x = 35,744,392,578.52
  5. Step 5: Solve for x
    x = 35,744,392,578.52/129,322.13
  6. Step 6: Final answer
    x = 276,398.12

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