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Finding the Third Proportional to 102,772 and 153,462

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Solution

The third proportional to 102,772 and 153,462 is: 229,153.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,772 : 153,462 = 153,462 : x
  2. Step 2: Convert to fraction form
    102,772/153,462 = 153,462/x
  3. Step 3: Cross multiply
    102,772x = 153,462 × 153,462
  4. Step 4: Simplify right side
    102,772x = 23,550,585,444
  5. Step 5: Solve for x
    x = 23,550,585,444/102,772
  6. Step 6: Final answer
    x = 229,153.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.