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Finding the Third Proportional to 102,912 and 163,584

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Solution

The third proportional to 102,912 and 163,584 is: 260,025.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,912 : 163,584 = 163,584 : x
  2. Step 2: Convert to fraction form
    102,912/163,584 = 163,584/x
  3. Step 3: Cross multiply
    102,912x = 163,584 × 163,584
  4. Step 4: Simplify right side
    102,912x = 26,759,725,056
  5. Step 5: Solve for x
    x = 26,759,725,056/102,912
  6. Step 6: Final answer
    x = 260,025.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.