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Finding the Third Proportional to 124,122 and 196,632

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Solution

The third proportional to 124,122 and 196,632 is: 311,501.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,122 : 196,632 = 196,632 : x
  2. Step 2: Convert to fraction form
    124,122/196,632 = 196,632/x
  3. Step 3: Cross multiply
    124,122x = 196,632 × 196,632
  4. Step 4: Simplify right side
    124,122x = 38,664,143,424
  5. Step 5: Solve for x
    x = 38,664,143,424/124,122
  6. Step 6: Final answer
    x = 311,501.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.