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Finding the Third Proportional to 78,672 and 172,896

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Solution

The third proportional to 78,672 and 172,896 is: 379,970.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,672 : 172,896 = 172,896 : x
  2. Step 2: Convert to fraction form
    78,672/172,896 = 172,896/x
  3. Step 3: Cross multiply
    78,672x = 172,896 × 172,896
  4. Step 4: Simplify right side
    78,672x = 29,893,026,816
  5. Step 5: Solve for x
    x = 29,893,026,816/78,672
  6. Step 6: Final answer
    x = 379,970.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.