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Finding the Third Proportional to 42,681.94 and 93,529.69

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Solution

The third proportional to 42,681.94 and 93,529.69 is: 204,953.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,681.94 : 93,529.69 = 93,529.69 : x
  2. Step 2: Convert to fraction form
    42,681.94/93,529.69 = 93,529.69/x
  3. Step 3: Cross multiply
    42,681.94x = 93,529.69 × 93,529.69
  4. Step 4: Simplify right side
    42,681.94x = 8,747,802,443.85
  5. Step 5: Solve for x
    x = 8,747,802,443.85/42,681.94
  6. Step 6: Final answer
    x = 204,953.26

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.