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Finding the Third Proportional to 72,920 and 95,752

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Solution

The third proportional to 72,920 and 95,752 is: 125,732.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,920 : 95,752 = 95,752 : x
  2. Step 2: Convert to fraction form
    72,920/95,752 = 95,752/x
  3. Step 3: Cross multiply
    72,920x = 95,752 × 95,752
  4. Step 4: Simplify right side
    72,920x = 9,168,445,504
  5. Step 5: Solve for x
    x = 9,168,445,504/72,920
  6. Step 6: Final answer
    x = 125,732.93

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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.