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Finding the Third Proportional to 142,941 and 210,132

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Solution

The third proportional to 142,941 and 210,132 is: 308,906.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,941 : 210,132 = 210,132 : x
  2. Step 2: Convert to fraction form
    142,941/210,132 = 210,132/x
  3. Step 3: Cross multiply
    142,941x = 210,132 × 210,132
  4. Step 4: Simplify right side
    142,941x = 44,155,457,424
  5. Step 5: Solve for x
    x = 44,155,457,424/142,941
  6. Step 6: Final answer
    x = 308,906.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.