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Finding the Third Proportional to 99,767 and 145,929

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Solution

The third proportional to 99,767 and 145,929 is: 213,450.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,767 : 145,929 = 145,929 : x
  2. Step 2: Convert to fraction form
    99,767/145,929 = 145,929/x
  3. Step 3: Cross multiply
    99,767x = 145,929 × 145,929
  4. Step 4: Simplify right side
    99,767x = 21,295,273,041
  5. Step 5: Solve for x
    x = 21,295,273,041/99,767
  6. Step 6: Final answer
    x = 213,450.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.