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Finding the Third Proportional to 44,825 and 97,536

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Solution

The third proportional to 44,825 and 97,536 is: 212,231.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,825 : 97,536 = 97,536 : x
  2. Step 2: Convert to fraction form
    44,825/97,536 = 97,536/x
  3. Step 3: Cross multiply
    44,825x = 97,536 × 97,536
  4. Step 4: Simplify right side
    44,825x = 9,513,271,296
  5. Step 5: Solve for x
    x = 9,513,271,296/44,825
  6. Step 6: Final answer
    x = 212,231.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.