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Finding the Third Proportional to 85,429.69 and 128,045.81

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Solution

The third proportional to 85,429.69 and 128,045.81 is: 191,920.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,429.69 : 128,045.81 = 128,045.81 : x
  2. Step 2: Convert to fraction form
    85,429.69/128,045.81 = 128,045.81/x
  3. Step 3: Cross multiply
    85,429.69x = 128,045.81 × 128,045.81
  4. Step 4: Simplify right side
    85,429.69x = 16,395,730,098.79
  5. Step 5: Solve for x
    x = 16,395,730,098.79/85,429.69
  6. Step 6: Final answer
    x = 191,920.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.