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Finding the Third Proportional to 40,465 and 82,536

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Solution

The third proportional to 40,465 and 82,536 is: 168,347.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,465 : 82,536 = 82,536 : x
  2. Step 2: Convert to fraction form
    40,465/82,536 = 82,536/x
  3. Step 3: Cross multiply
    40,465x = 82,536 × 82,536
  4. Step 4: Simplify right side
    40,465x = 6,812,191,296
  5. Step 5: Solve for x
    x = 6,812,191,296/40,465
  6. Step 6: Final answer
    x = 168,347.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.