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Finding the Third Proportional to 43,141 and 93,089

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Solution

The third proportional to 43,141 and 93,089 is: 200,866.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,141 : 93,089 = 93,089 : x
  2. Step 2: Convert to fraction form
    43,141/93,089 = 93,089/x
  3. Step 3: Cross multiply
    43,141x = 93,089 × 93,089
  4. Step 4: Simplify right side
    43,141x = 8,665,561,921
  5. Step 5: Solve for x
    x = 8,665,561,921/43,141
  6. Step 6: Final answer
    x = 200,866.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.