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Finding the Third Proportional to 67,920 and 88,752

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Solution

The third proportional to 67,920 and 88,752 is: 115,973.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,920 : 88,752 = 88,752 : x
  2. Step 2: Convert to fraction form
    67,920/88,752 = 88,752/x
  3. Step 3: Cross multiply
    67,920x = 88,752 × 88,752
  4. Step 4: Simplify right side
    67,920x = 7,876,917,504
  5. Step 5: Solve for x
    x = 7,876,917,504/67,920
  6. Step 6: Final answer
    x = 115,973.46

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.