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Finding the Third Proportional to 43,352 and 68,664

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Solution

The third proportional to 43,352 and 68,664 is: 108,754.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,352 : 68,664 = 68,664 : x
  2. Step 2: Convert to fraction form
    43,352/68,664 = 68,664/x
  3. Step 3: Cross multiply
    43,352x = 68,664 × 68,664
  4. Step 4: Simplify right side
    43,352x = 4,714,744,896
  5. Step 5: Solve for x
    x = 4,714,744,896/43,352
  6. Step 6: Final answer
    x = 108,754.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.