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Finding the Third Proportional to 99,545 and 154,151

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Solution

The third proportional to 99,545 and 154,151 is: 238,711.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,545 : 154,151 = 154,151 : x
  2. Step 2: Convert to fraction form
    99,545/154,151 = 154,151/x
  3. Step 3: Cross multiply
    99,545x = 154,151 × 154,151
  4. Step 4: Simplify right side
    99,545x = 23,762,530,801
  5. Step 5: Solve for x
    x = 23,762,530,801/99,545
  6. Step 6: Final answer
    x = 238,711.45

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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.