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Finding the Third Proportional to 40,322 and 88,516

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Solution

The third proportional to 40,322 and 88,516 is: 194,312.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,322 : 88,516 = 88,516 : x
  2. Step 2: Convert to fraction form
    40,322/88,516 = 88,516/x
  3. Step 3: Cross multiply
    40,322x = 88,516 × 88,516
  4. Step 4: Simplify right side
    40,322x = 7,835,082,256
  5. Step 5: Solve for x
    x = 7,835,082,256/40,322
  6. Step 6: Final answer
    x = 194,312.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.