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Finding the Third Proportional to 124,640 and 196,032

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Solution

The third proportional to 124,640 and 196,032 is: 308,316.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,640 : 196,032 = 196,032 : x
  2. Step 2: Convert to fraction form
    124,640/196,032 = 196,032/x
  3. Step 3: Cross multiply
    124,640x = 196,032 × 196,032
  4. Step 4: Simplify right side
    124,640x = 38,428,545,024
  5. Step 5: Solve for x
    x = 38,428,545,024/124,640
  6. Step 6: Final answer
    x = 308,316.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.