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Finding the Third Proportional to 96,640 and 147,768

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Solution

The third proportional to 96,640 and 147,768 is: 225,945.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,640 : 147,768 = 147,768 : x
  2. Step 2: Convert to fraction form
    96,640/147,768 = 147,768/x
  3. Step 3: Cross multiply
    96,640x = 147,768 × 147,768
  4. Step 4: Simplify right side
    96,640x = 21,835,381,824
  5. Step 5: Solve for x
    x = 21,835,381,824/96,640
  6. Step 6: Final answer
    x = 225,945.59

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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.