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Finding the Third Proportional to 76,752 and 103,032

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Solution

The third proportional to 76,752 and 103,032 is: 138,310.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,752 : 103,032 = 103,032 : x
  2. Step 2: Convert to fraction form
    76,752/103,032 = 103,032/x
  3. Step 3: Cross multiply
    76,752x = 103,032 × 103,032
  4. Step 4: Simplify right side
    76,752x = 10,615,593,024
  5. Step 5: Solve for x
    x = 10,615,593,024/76,752
  6. Step 6: Final answer
    x = 138,310.31

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.