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Finding the Third Proportional to 96,530.06 and 146,042.06

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Solution

The third proportional to 96,530.06 and 146,042.06 is: 220,949.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,530.06 : 146,042.06 = 146,042.06 : x
  2. Step 2: Convert to fraction form
    96,530.06/146,042.06 = 146,042.06/x
  3. Step 3: Cross multiply
    96,530.06x = 146,042.06 × 146,042.06
  4. Step 4: Simplify right side
    96,530.06x = 21,328,284,019.25
  5. Step 5: Solve for x
    x = 21,328,284,019.25/96,530.06
  6. Step 6: Final answer
    x = 220,949.66

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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.