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Finding the Third Proportional to 74,650 and 116,520

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Solution

The third proportional to 74,650 and 116,520 is: 181,874.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,650 : 116,520 = 116,520 : x
  2. Step 2: Convert to fraction form
    74,650/116,520 = 116,520/x
  3. Step 3: Cross multiply
    74,650x = 116,520 × 116,520
  4. Step 4: Simplify right side
    74,650x = 13,576,910,400
  5. Step 5: Solve for x
    x = 13,576,910,400/74,650
  6. Step 6: Final answer
    x = 181,874.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.