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Finding the Third Proportional to 60,322 and 96,753

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Solution

The third proportional to 60,322 and 96,753 is: 155,186.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,322 : 96,753 = 96,753 : x
  2. Step 2: Convert to fraction form
    60,322/96,753 = 96,753/x
  3. Step 3: Cross multiply
    60,322x = 96,753 × 96,753
  4. Step 4: Simplify right side
    60,322x = 9,361,143,009
  5. Step 5: Solve for x
    x = 9,361,143,009/60,322
  6. Step 6: Final answer
    x = 155,186.22

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.