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Finding the Third Proportional to 74,713.50 and 161,091

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Solution

The third proportional to 74,713.50 and 161,091 is: 347,330.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,713.50 : 161,091 = 161,091 : x
  2. Step 2: Convert to fraction form
    74,713.50/161,091 = 161,091/x
  3. Step 3: Cross multiply
    74,713.50x = 161,091 × 161,091
  4. Step 4: Simplify right side
    74,713.50x = 25,950,310,281
  5. Step 5: Solve for x
    x = 25,950,310,281/74,713.50
  6. Step 6: Final answer
    x = 347,330.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.