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Finding the Third Proportional to 128,789.16 and 189,459

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Solution

The third proportional to 128,789.16 and 189,459 is: 278,709.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,789.16 : 189,459 = 189,459 : x
  2. Step 2: Convert to fraction form
    128,789.16/189,459 = 189,459/x
  3. Step 3: Cross multiply
    128,789.16x = 189,459 × 189,459
  4. Step 4: Simplify right side
    128,789.16x = 35,894,712,681
  5. Step 5: Solve for x
    x = 35,894,712,681/128,789.16
  6. Step 6: Final answer
    x = 278,709.12

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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.