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Finding the Third Proportional to 42,944 and 87,102

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Solution

The third proportional to 42,944 and 87,102 is: 176,666.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,944 : 87,102 = 87,102 : x
  2. Step 2: Convert to fraction form
    42,944/87,102 = 87,102/x
  3. Step 3: Cross multiply
    42,944x = 87,102 × 87,102
  4. Step 4: Simplify right side
    42,944x = 7,586,758,404
  5. Step 5: Solve for x
    x = 7,586,758,404/42,944
  6. Step 6: Final answer
    x = 176,666.32

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.