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Finding the Third Proportional to 96,096 and 154,402

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Solution

The third proportional to 96,096 and 154,402 is: 248,085.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,096 : 154,402 = 154,402 : x
  2. Step 2: Convert to fraction form
    96,096/154,402 = 154,402/x
  3. Step 3: Cross multiply
    96,096x = 154,402 × 154,402
  4. Step 4: Simplify right side
    96,096x = 23,839,977,604
  5. Step 5: Solve for x
    x = 23,839,977,604/96,096
  6. Step 6: Final answer
    x = 248,085.02

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.