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Finding the Third Proportional to 142,953 and 210,150

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Solution

The third proportional to 142,953 and 210,150 is: 308,933.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,953 : 210,150 = 210,150 : x
  2. Step 2: Convert to fraction form
    142,953/210,150 = 210,150/x
  3. Step 3: Cross multiply
    142,953x = 210,150 × 210,150
  4. Step 4: Simplify right side
    142,953x = 44,163,022,500
  5. Step 5: Solve for x
    x = 44,163,022,500/142,953
  6. Step 6: Final answer
    x = 308,933.86

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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.