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Finding the Third Proportional to 74,766 and 157,164

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Solution

The third proportional to 74,766 and 157,164 is: 330,371.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,766 : 157,164 = 157,164 : x
  2. Step 2: Convert to fraction form
    74,766/157,164 = 157,164/x
  3. Step 3: Cross multiply
    74,766x = 157,164 × 157,164
  4. Step 4: Simplify right side
    74,766x = 24,700,522,896
  5. Step 5: Solve for x
    x = 24,700,522,896/74,766
  6. Step 6: Final answer
    x = 330,371.06

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.