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Finding the Third Proportional to 139,950 and 210,627

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Solution

The third proportional to 139,950 and 210,627 is: 316,997.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,950 : 210,627 = 210,627 : x
  2. Step 2: Convert to fraction form
    139,950/210,627 = 210,627/x
  3. Step 3: Cross multiply
    139,950x = 210,627 × 210,627
  4. Step 4: Simplify right side
    139,950x = 44,363,733,129
  5. Step 5: Solve for x
    x = 44,363,733,129/139,950
  6. Step 6: Final answer
    x = 316,997.02

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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.