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Finding the Third Proportional to 99,657 and 154,467

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Solution

The third proportional to 99,657 and 154,467 is: 239,421.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,657 : 154,467 = 154,467 : x
  2. Step 2: Convert to fraction form
    99,657/154,467 = 154,467/x
  3. Step 3: Cross multiply
    99,657x = 154,467 × 154,467
  4. Step 4: Simplify right side
    99,657x = 23,860,054,089
  5. Step 5: Solve for x
    x = 23,860,054,089/99,657
  6. Step 6: Final answer
    x = 239,421.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.