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Finding the Third Proportional to 73,842 and 160,160

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Solution

The third proportional to 73,842 and 160,160 is: 347,379.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,842 : 160,160 = 160,160 : x
  2. Step 2: Convert to fraction form
    73,842/160,160 = 160,160/x
  3. Step 3: Cross multiply
    73,842x = 160,160 × 160,160
  4. Step 4: Simplify right side
    73,842x = 25,651,225,600
  5. Step 5: Solve for x
    x = 25,651,225,600/73,842
  6. Step 6: Final answer
    x = 347,379.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.