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Finding the Third Proportional to 74,454 and 111,696

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Solution

The third proportional to 74,454 and 111,696 is: 167,566.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,454 : 111,696 = 111,696 : x
  2. Step 2: Convert to fraction form
    74,454/111,696 = 111,696/x
  3. Step 3: Cross multiply
    74,454x = 111,696 × 111,696
  4. Step 4: Simplify right side
    74,454x = 12,475,996,416
  5. Step 5: Solve for x
    x = 12,475,996,416/74,454
  6. Step 6: Final answer
    x = 167,566.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.