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Finding the Third Proportional to 99,098 and 148,679

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Solution

The third proportional to 99,098 and 148,679 is: 223,066.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,098 : 148,679 = 148,679 : x
  2. Step 2: Convert to fraction form
    99,098/148,679 = 148,679/x
  3. Step 3: Cross multiply
    99,098x = 148,679 × 148,679
  4. Step 4: Simplify right side
    99,098x = 22,105,445,041
  5. Step 5: Solve for x
    x = 22,105,445,041/99,098
  6. Step 6: Final answer
    x = 223,066.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.