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Finding the Third Proportional to 60,321 and 79,322

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Solution

The third proportional to 60,321 and 79,322 is: 104,308.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,321 : 79,322 = 79,322 : x
  2. Step 2: Convert to fraction form
    60,321/79,322 = 79,322/x
  3. Step 3: Cross multiply
    60,321x = 79,322 × 79,322
  4. Step 4: Simplify right side
    60,321x = 6,291,979,684
  5. Step 5: Solve for x
    x = 6,291,979,684/60,321
  6. Step 6: Final answer
    x = 104,308.28

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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.