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Finding the Third Proportional to 29,323 and 69,152

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Solution

The third proportional to 29,323 and 69,152 is: 163,080.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,323 : 69,152 = 69,152 : x
  2. Step 2: Convert to fraction form
    29,323/69,152 = 69,152/x
  3. Step 3: Cross multiply
    29,323x = 69,152 × 69,152
  4. Step 4: Simplify right side
    29,323x = 4,781,999,104
  5. Step 5: Solve for x
    x = 4,781,999,104/29,323
  6. Step 6: Final answer
    x = 163,080.15

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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.