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Finding the Third Proportional to 44,134 and 96,200

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Solution

The third proportional to 44,134 and 96,200 is: 209,689.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,134 : 96,200 = 96,200 : x
  2. Step 2: Convert to fraction form
    44,134/96,200 = 96,200/x
  3. Step 3: Cross multiply
    44,134x = 96,200 × 96,200
  4. Step 4: Simplify right side
    44,134x = 9,254,440,000
  5. Step 5: Solve for x
    x = 9,254,440,000/44,134
  6. Step 6: Final answer
    x = 209,689.58

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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.