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Finding the Third Proportional to 43,140 and 89,032

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Solution

The third proportional to 43,140 and 89,032 is: 183,743.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,140 : 89,032 = 89,032 : x
  2. Step 2: Convert to fraction form
    43,140/89,032 = 89,032/x
  3. Step 3: Cross multiply
    43,140x = 89,032 × 89,032
  4. Step 4: Simplify right side
    43,140x = 7,926,697,024
  5. Step 5: Solve for x
    x = 7,926,697,024/43,140
  6. Step 6: Final answer
    x = 183,743.56

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.