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Finding the Third Proportional to 63,151 and 139,477

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Solution

The third proportional to 63,151 and 139,477 is: 308,052.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,151 : 139,477 = 139,477 : x
  2. Step 2: Convert to fraction form
    63,151/139,477 = 139,477/x
  3. Step 3: Cross multiply
    63,151x = 139,477 × 139,477
  4. Step 4: Simplify right side
    63,151x = 19,453,833,529
  5. Step 5: Solve for x
    x = 19,453,833,529/63,151
  6. Step 6: Final answer
    x = 308,052.66

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.