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Finding the Third Proportional to 96,768 and 149,526

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Solution

The third proportional to 96,768 and 149,526 is: 231,047.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,768 : 149,526 = 149,526 : x
  2. Step 2: Convert to fraction form
    96,768/149,526 = 149,526/x
  3. Step 3: Cross multiply
    96,768x = 149,526 × 149,526
  4. Step 4: Simplify right side
    96,768x = 22,358,024,676
  5. Step 5: Solve for x
    x = 22,358,024,676/96,768
  6. Step 6: Final answer
    x = 231,047.71

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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.