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Finding the Third Proportional to 42,997 and 89,032

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Solution

The third proportional to 42,997 and 89,032 is: 184,354.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,997 : 89,032 = 89,032 : x
  2. Step 2: Convert to fraction form
    42,997/89,032 = 89,032/x
  3. Step 3: Cross multiply
    42,997x = 89,032 × 89,032
  4. Step 4: Simplify right side
    42,997x = 7,926,697,024
  5. Step 5: Solve for x
    x = 7,926,697,024/42,997
  6. Step 6: Final answer
    x = 184,354.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.