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Finding the Third Proportional to 74,196.75 and 160,057.50

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Solution

The third proportional to 74,196.75 and 160,057.50 is: 345,276.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,196.75 : 160,057.50 = 160,057.50 : x
  2. Step 2: Convert to fraction form
    74,196.75/160,057.50 = 160,057.50/x
  3. Step 3: Cross multiply
    74,196.75x = 160,057.50 × 160,057.50
  4. Step 4: Simplify right side
    74,196.75x = 25,618,403,306.25
  5. Step 5: Solve for x
    x = 25,618,403,306.25/74,196.75
  6. Step 6: Final answer
    x = 345,276.62

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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.