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Finding the Third Proportional to 69,376 and 163,584

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Solution

The third proportional to 69,376 and 163,584 is: 385,720.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,376 : 163,584 = 163,584 : x
  2. Step 2: Convert to fraction form
    69,376/163,584 = 163,584/x
  3. Step 3: Cross multiply
    69,376x = 163,584 × 163,584
  4. Step 4: Simplify right side
    69,376x = 26,759,725,056
  5. Step 5: Solve for x
    x = 26,759,725,056/69,376
  6. Step 6: Final answer
    x = 385,720.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.