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Finding the Third Proportional to 98,770 and 160,467

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Solution

The third proportional to 98,770 and 160,467 is: 260,703.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,770 : 160,467 = 160,467 : x
  2. Step 2: Convert to fraction form
    98,770/160,467 = 160,467/x
  3. Step 3: Cross multiply
    98,770x = 160,467 × 160,467
  4. Step 4: Simplify right side
    98,770x = 25,749,658,089
  5. Step 5: Solve for x
    x = 25,749,658,089/98,770
  6. Step 6: Final answer
    x = 260,703.23

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.