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Finding the Third Proportional to 64,050 and 140,556

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Solution

The third proportional to 64,050 and 140,556 is: 308,446.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,050 : 140,556 = 140,556 : x
  2. Step 2: Convert to fraction form
    64,050/140,556 = 140,556/x
  3. Step 3: Cross multiply
    64,050x = 140,556 × 140,556
  4. Step 4: Simplify right side
    64,050x = 19,755,989,136
  5. Step 5: Solve for x
    x = 19,755,989,136/64,050
  6. Step 6: Final answer
    x = 308,446.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.