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Finding the Third Proportional to 43,116 and 93,032

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Solution

The third proportional to 43,116 and 93,032 is: 200,736.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,116 : 93,032 = 93,032 : x
  2. Step 2: Convert to fraction form
    43,116/93,032 = 93,032/x
  3. Step 3: Cross multiply
    43,116x = 93,032 × 93,032
  4. Step 4: Simplify right side
    43,116x = 8,654,953,024
  5. Step 5: Solve for x
    x = 8,654,953,024/43,116
  6. Step 6: Final answer
    x = 200,736.46

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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.