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Finding the Third Proportional to 96,640 and 146,296.75

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Solution

The third proportional to 96,640 and 146,296.75 is: 221,468.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,640 : 146,296.75 = 146,296.75 : x
  2. Step 2: Convert to fraction form
    96,640/146,296.75 = 146,296.75/x
  3. Step 3: Cross multiply
    96,640x = 146,296.75 × 146,296.75
  4. Step 4: Simplify right side
    96,640x = 21,402,739,060.56
  5. Step 5: Solve for x
    x = 21,402,739,060.56/96,640
  6. Step 6: Final answer
    x = 221,468.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.