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Finding the Third Proportional to 74,055 and 161,250

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Solution

The third proportional to 74,055 and 161,250 is: 351,111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,055 : 161,250 = 161,250 : x
  2. Step 2: Convert to fraction form
    74,055/161,250 = 161,250/x
  3. Step 3: Cross multiply
    74,055x = 161,250 × 161,250
  4. Step 4: Simplify right side
    74,055x = 26,001,562,500
  5. Step 5: Solve for x
    x = 26,001,562,500/74,055
  6. Step 6: Final answer
    x = 351,111.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.