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Finding the Third Proportional to 42,929 and 89,777

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Solution

The third proportional to 42,929 and 89,777 is: 187,749.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,929 : 89,777 = 89,777 : x
  2. Step 2: Convert to fraction form
    42,929/89,777 = 89,777/x
  3. Step 3: Cross multiply
    42,929x = 89,777 × 89,777
  4. Step 4: Simplify right side
    42,929x = 8,059,909,729
  5. Step 5: Solve for x
    x = 8,059,909,729/42,929
  6. Step 6: Final answer
    x = 187,749.77

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.