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Finding the Third Proportional to 64,444 and 136,632

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Solution

The third proportional to 64,444 and 136,632 is: 289,682.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,444 : 136,632 = 136,632 : x
  2. Step 2: Convert to fraction form
    64,444/136,632 = 136,632/x
  3. Step 3: Cross multiply
    64,444x = 136,632 × 136,632
  4. Step 4: Simplify right side
    64,444x = 18,668,303,424
  5. Step 5: Solve for x
    x = 18,668,303,424/64,444
  6. Step 6: Final answer
    x = 289,682.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.