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Finding the Third Proportional to 100,829 and 154,768

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Solution

The third proportional to 100,829 and 154,768 is: 237,561.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,829 : 154,768 = 154,768 : x
  2. Step 2: Convert to fraction form
    100,829/154,768 = 154,768/x
  3. Step 3: Cross multiply
    100,829x = 154,768 × 154,768
  4. Step 4: Simplify right side
    100,829x = 23,953,133,824
  5. Step 5: Solve for x
    x = 23,953,133,824/100,829
  6. Step 6: Final answer
    x = 237,561.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.