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Finding the Third Proportional to 63,516 and 87,174

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Solution

The third proportional to 63,516 and 87,174 is: 119,643.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,516 : 87,174 = 87,174 : x
  2. Step 2: Convert to fraction form
    63,516/87,174 = 87,174/x
  3. Step 3: Cross multiply
    63,516x = 87,174 × 87,174
  4. Step 4: Simplify right side
    63,516x = 7,599,306,276
  5. Step 5: Solve for x
    x = 7,599,306,276/63,516
  6. Step 6: Final answer
    x = 119,643.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.