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Finding the Third Proportional to 63,564 and 135,570

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Solution

The third proportional to 63,564 and 135,570 is: 289,145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,564 : 135,570 = 135,570 : x
  2. Step 2: Convert to fraction form
    63,564/135,570 = 135,570/x
  3. Step 3: Cross multiply
    63,564x = 135,570 × 135,570
  4. Step 4: Simplify right side
    63,564x = 18,379,224,900
  5. Step 5: Solve for x
    x = 18,379,224,900/63,564
  6. Step 6: Final answer
    x = 289,145.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.