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Finding the Third Proportional to 99,546 and 154,359

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Solution

The third proportional to 99,546 and 154,359 is: 239,353.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,546 : 154,359 = 154,359 : x
  2. Step 2: Convert to fraction form
    99,546/154,359 = 154,359/x
  3. Step 3: Cross multiply
    99,546x = 154,359 × 154,359
  4. Step 4: Simplify right side
    99,546x = 23,826,700,881
  5. Step 5: Solve for x
    x = 23,826,700,881/99,546
  6. Step 6: Final answer
    x = 239,353.67

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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.