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Finding the Third Proportional to 98,716 and 150,526

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Solution

The third proportional to 98,716 and 150,526 is: 229,527.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,716 : 150,526 = 150,526 : x
  2. Step 2: Convert to fraction form
    98,716/150,526 = 150,526/x
  3. Step 3: Cross multiply
    98,716x = 150,526 × 150,526
  4. Step 4: Simplify right side
    98,716x = 22,658,076,676
  5. Step 5: Solve for x
    x = 22,658,076,676/98,716
  6. Step 6: Final answer
    x = 229,527.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.