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Finding the Third Proportional to 74,696 and 156,312

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Solution

The third proportional to 74,696 and 156,312 is: 327,105.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,696 : 156,312 = 156,312 : x
  2. Step 2: Convert to fraction form
    74,696/156,312 = 156,312/x
  3. Step 3: Cross multiply
    74,696x = 156,312 × 156,312
  4. Step 4: Simplify right side
    74,696x = 24,433,441,344
  5. Step 5: Solve for x
    x = 24,433,441,344/74,696
  6. Step 6: Final answer
    x = 327,105.08

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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.