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Finding the Third Proportional to 139,770 and 301,671

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Solution

The third proportional to 139,770 and 301,671 is: 651,108.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,770 : 301,671 = 301,671 : x
  2. Step 2: Convert to fraction form
    139,770/301,671 = 301,671/x
  3. Step 3: Cross multiply
    139,770x = 301,671 × 301,671
  4. Step 4: Simplify right side
    139,770x = 91,005,392,241
  5. Step 5: Solve for x
    x = 91,005,392,241/139,770
  6. Step 6: Final answer
    x = 651,108.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.